Andrea Lucchini

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All published works

Action	Title	Year	Authors
+	Abelian supplements in almost simple groups	2025	Mauro Costantini Andrea Lucchini Daniele Nemmi
+	Generating Hypergraphs of Finite Groups	2024	Andrea Lucchini
+	On finite groups whose power graph is claw-free	2024	Pallabi Manna Santanu Mandal Andrea Lucchini
+	On the connectivity of the generating and rank graphs of finite groups	2024	Andrea Lucchini Daniele Nemmi
+	p-elements in profinite groups	2024	Andrea Lucchini Nowras Otmen
+ PDF Chat	The Chebotarev invariant for direct products of nonabelian finite simple groups	2024	Jessica Anzanello Andrea Lucchini Gareth Tracey
+ PDF Chat	On finite groups whose power graph is claw-free	2024	Pallabi Manna Santanu Mandal Andrea Lucchini
+ PDF Chat	$p$-elements in profinite groups	2024	Andrea Lucchini Nowras Otmen
+ PDF Chat	On the connectivity of the generating and rank graphs of finite groups	2024	Andrea Lucchini Daniele Nemmi
+ PDF Chat	Abelian supplements in almost simple groups	2024	Mauro Costantini Andrea Lucchini Daniele Nemmi
+ PDF Chat	Generating hypergraphs of finite groups	2024	Andrea Lucchini
+	On the diameter of Engel graphs	2024	Andrea Lucchini Pablo Spiga
+ PDF Chat	Solubilizers in profinite groups	2024	Andrea Lucchini
+ PDF Chat	On finite d$d$‐maximal groups	2023	Andrea Lucchini Luca Sabatini Mima Stanojkovski
+	The minimum generating set problem	2023	Andrea Lucchini Dhara Thakkar
+ PDF Chat	IBIS soluble linear groups	2023	Andrea Lucchini Dmitry Malinin
+ PDF Chat	Hypermaps Over Non-Abelian Simple Groups and Strongly Symmetric Generating Sets	2023	Andrea Lucchini Pablo Spiga
+ PDF Chat	Prefrattini subgroups and crowns	2023	Andrea Lucchini
+ PDF Chat	Finite groups satisfying the independence property	2023	Saul D. Freedman Andrea Lucchini Daniele Nemmi Colva M. Roney‐Dougal
+	Group nilpotency from a graph point of view	2023	Valentina Grazian Andrea Lucchini Carmine Monetta
+	Probabilistic properties of profinite groups	2023	Eloisa Detomi Andrea Lucchini Marta Morigi Pavel Shumyatsky
+	On finite $d$-maximal groups	2023	Andrea Lucchini Luca Sabatini Mima Stanojkovski
+	The Minimum Generating Set Problem	2023	Andrea Lucchini Dhara Thakkar
+	The non-two-primes graph of a finite group	2023	Karmele Garatea Zaballa Andrea Lucchini
+	Solubilizers in profinite groups	2023	Andrea Lucchini
+	On the diameter of Engel graphs	2023	Andrea Lucchini Pablo Spiga
+	Commuting probability for the Sylow subgroups of a finite group	2023	Eloisa Detomi Andrea Lucchini Marta Morigi Pavel Shumyatsky
+ PDF Chat	Strongly generating elements in finite and profinite groups	2022	Eloisa Detomi Andrea Lucchini
+ PDF Chat	The Engel graph of a finite group	2022	Eloisa Detomi Andrea Lucchini Daniele Nemmi
+	On the soluble graph of a finite group	2022	Timothy C. Burness Andrea Lucchini Daniele Nemmi
+ PDF Chat	Forbidden subgraphs in generating graphs of finite groups	2022	Andrea Lucchini Daniele Nemmi
+ PDF Chat	The A-Möbius function of a finite group	2022	Francesa Dalla Volta Andrea Lucchini
+	Applying extremal graph theory to a question on finite groups	2022	Andrea Lucchini
+ PDF Chat	A Generalization of a Question Asked by B. H. Neumann	2022	Andrea Lucchini
+ PDF Chat	Finite groups, minimal bases and the intersection number	2022	Timothy C. Burness Martino Garonzi Andrea Lucchini
+	Semiregularity and connectivity of the non-𝔉 graph of a finite group	2022	Andrea Lucchini Daniele Nemmi
+ PDF Chat	On the connectivity of the non-generating graph	2022	Andrea Lucchini Daniele Nemmi
+ PDF Chat	Maximal Intersections in Finite Groups	2022	Andrea Lucchini
+	A generalization of a question asked by B. H. Neumann	2022	Andrea Lucchini
+	Minimal invariable generating sets	2022	Daniele Garzoni Andrea Lucchini
+	The Engel graph of a finite group	2022	Eloisa Detomi Andrea Lucchini Daniele Nemmi
+	The Engel graph of almost simple groups	2022	Andrea Lucchini Pablo Spiga
+	Strongly generating elements in finite and profinite groups	2022	Eloisa Detomi Andrea Lucchini
+	Finite groups satisfying the independence property	2022	Saul D. Freedman Andrea Lucchini Daniele Nemmi Colva M. Roney‐Dougal
+	Finite groups in which there are only two possible cardinalities for an independent generating set	2022	Andrea Lucchini Pablo Spiga
+	IBIS soluble linear groups	2022	Andrea Lucchini Dmitry Malinin
+	The non‐F graph of a finite group	2021	Andrea Lucchini Daniele Nemmi
+	Semiregularity and connectivity of the non-$\mathfrak F$ graph of a finite group	2021	Andrea Lucchini Daniele Nemmi
+ PDF Chat	Primitive permutation IBIS groups	2021	Andrea Lucchini Marta Morigi Mariapia Moscatiello
+ PDF Chat	A subexponential bound on the cardinality of abelian quotients in finite transitive groups	2021	Andrea Lucchini Luca Sabatini Pablo Spiga
+	Independent sets of generators of prime power order	2021	Andrea Lucchini Pablo Spiga
+	Primitive permutation IBIS groups	2021	Andrea Lucchini Marta Morigi Mariapia Moscatiello
+	Independent sets of generators of prime power order	2021	Andrea Lucchini Pablo Spiga
+ PDF Chat	Genus, thickness and crossing number of graphs encoding the generating properties of finite groups	2021	Cristina Acciarri Andrea Lucchini
+	On the soluble graph of a finite group	2021	Timothy C. Burness Andrea Lucchini Daniele Nemmi
+	Semiregularity and connectivity of the non-$\mathfrak F$ graph of a finite group	2021	Andrea Lucchini Daniele Nemmi
+	On the connectivity of the non-generating graph	2021	Andrea Lucchini Daniele Nemmi
+	Primitive permutation IBIS groups	2021	Andrea Lucchini Marta Morigi Mariapia Moscatiello
+	Independent sets of generators of prime power order	2021	Andrea Lucchini Pablo Spiga
+	The $A$-Möbius function of a finite group	2021	Francesca Dalla Volta Andrea Lucchini
+	Forbidden subgraphs in generating graphs of finite groups	2021	Andrea Lucchini Daniele Nemmi
+	Hypermaps over non-abelian simple groups and strongly symmetric generating sets	2021	Andrea Lucchini Pablo Spiga
+	A subexponential bound on the cardinality of abelian quotients in finite transitive groups	2020	Andrea Lucchini Luca Sabatini Pablo Spiga
+	Maximal intersections in finite groups	2020	Andrea Lucchini
+ PDF Chat	Profinite groups in which the probabilistic zeta function has no negative coefficients	2020	Eloisa Detomi Andrea Lucchini
+ PDF Chat	The virtually generating graph of a profinite group	2020	Andrea Lucchini
+ PDF Chat	Connectivity of generating graphs of nilpotent groups	2020	Scott Harper Andrea Lucchini
+ PDF Chat	FINITE GROUPS WITH THE SAME JOIN GRAPH AS A FINITE NILPOTENT GROUP	2020	Andrea Lucchini
+ PDF Chat	The independence graph of a finite group	2020	Andrea Lucchini
+ PDF Chat	The generating graph of a profinite group	2020	Andrea Lucchini
+ PDF Chat	Graphs encoding the generating properties of a finite group	2020	Cristina Acciarri Andrea Lucchini
+	Applying the Kövári-Sós-Turán theorem to a question in group theory	2020	Andrea Lucchini
+	The diameter of the non-nilpotent graph of a finite group	2020	Andrea Lucchini Daniele Nemmi
+	Profinite groups in which the probabilistic zeta function has no negative coefficients	2020	Eloisa Detomi Andrea Lucchini
+	Recognizing a finite group from the generating properties of its subsets	2020	Andrea Lucchini
+	Applying the K\"ov\'ari-S\'os-Tur\'an theorem to a question in group theory	2020	Andrea Lucchini
+	Applying the K\"ov\'ari-S\'os-Tur\'an	2020	Andrea Lucchini
+	The independence graph of a finite group	2020	Andrea Lucchini
+	Genus, thickness and crossing number of graphs encoding the generating properties of finite groups	2020	Cristina Acciarri Andrea Lucchini
+	A probabilistic version of a theorem of lászló kovács and hyo-seob sim	2020	Andrea Lucchini Mariapia Moscatiello
+	The genus of the subgroup graph of a finite group	2020	Andrea Lucchini
+ PDF Chat	A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group	2020	Andrea Lucchini Mariapia Moscatiello Pablo Spiga
+	The generating graph of a profinite group	2020	Andrea Lucchini
+	Connectivity of generating graphs of nilpotent groups	2020	Scott Harper Andrea Lucchini
+	The genus of the subgroup graph of a finite group	2020	Andrea Lucchini
+ PDF Chat	Bounding the maximal size of independent generating sets of finite groups	2020	Andrea Lucchini Mariapia Moscatiello Pablo Spiga
+	An upper bound on the Chebotarev invariant of a finite group	2020	Andrea Lucchini Gareth Tracey
+	The non-$\mathfrak F$-graph of a finite group	2020	Andrea Lucchini Daniele Nemmi
+ PDF Chat	Boolean lattices in finite alternating and symmetric groups	2020	Andrea Lucchini Mariapia Moscatiello Sébastien Palcoux Pablo Spiga
+ PDF Chat	GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS	2020	Andrea Lucchini Claude Marion Gareth Tracey
+	Finite groups with planar generating graph	2020	Andrea Lucchini
+	Maximal intersections in finite groups	2020	Andrea Lucchini
+	Finite groups, minimal bases and the intersection number	2020	Timothy C. Burness Martino Garonzi Andrea Lucchini
+	Profinite groups in which the probabilistic zeta function has no negative coefficients	2020	Eloisa Detomi Andrea Lucchini
+	Applying the Kövári-Sós-Turán theorem to a question in group theory	2020	Andrea Lucchini
+	The independence graph of a finite group	2020	Andrea Lucchini
+	Genus, thickness and crossing number of graphs encoding the generating properties of finite groups	2020	Cristina Acciarri Andrea Lucchini
+	The generating graph of a profinite group	2020	Andrea Lucchini
+	Connectivity of generating graphs of nilpotent groups	2020	Scott Harper Andrea Lucchini
+	The genus of the subgroup graph of a finite group	2020	Andrea Lucchini
+	An upper bound on the Chebotarev invariant of a finite group	2020	Andrea Lucchini Gareth Tracey
+ PDF Chat	Finite groups with large Chebotarev invariant	2019	Andrea Lucchini Gareth Tracey
+	On the minimal dimension of a finite simple group	2019	Timothy C. Burness Martino Garonzi Andrea Lucchini
+	Bounding the maximal size of independent generating sets of finite groups	2019	Andrea Lucchini Mariapia Moscatiello Pablo Spiga
+	A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group	2019	Andrea Lucchini Mariapia Moscatiello Pablo Spiga
+	Groups satisfying a strong complement property	2019	Eloisa Detomi Andrea Lucchini Mariapia Moscatiello Pablo Spiga Gunnar Traustason
+ PDF Chat	Minimal invariable generating sets	2019	Daniele Garzoni Andrea Lucchini
+ PDF Chat	Maximal irredundant families of minimal size in the alternating group	2019	Martino Garonzi Andrea Lucchini
+	Intersections of maximal subgroups in prosolvable groups	2019	Iker de las Heras Andrea Lucchini
+	THE GENERATING GRAPH OF INFINITE ABELIAN GROUPS	2019	Cristina Acciarri Andrea Lucchini
+	On the minimal dimension of a finite simple group (with an appendix by T.C. Burness and R.M. Guralnick)	2019	Timothy C. Burness Martino Garonzi Andrea Lucchini
+	Finite groups with planar generating graph	2019	Andrea Lucchini
+	Bounding the maximal size of independent generating sets of finite groups	2019	Andrea Lucchini Mariapia Moscatiello Pablo Spiga
+	A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group	2019	Andrea Lucchini Mariapia Moscatiello Pablo Spiga
+ PDF Chat	Comparing the expected number of random elements from the symmetric and the alternating groups needed to generate a transitive subgroup	2018	Andrea Lucchini Mariapia Moscatiello
+	The Tarski irredundant basis theorem and the finite soluble groups	2018	Andrea Lucchini Mariapia Moscatiello
+	Invariable generation of groups of finite rank	2018	Eloisa Detomi Andrea Lucchini Marta Morigi
+	Finite groups with large Chebotarev invariant	2018	Andrea Lucchini Gareth Tracey
+ PDF Chat	The expected number of elements to generate a finite group with $d$-generated Sylow subgroups	2018	Andrea Lucchini Mariapia Moscatiello
+	Maximal irredundant families of minimal size in the alternating group	2018	Martino Garonzi Andrea Lucchini
+	Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements	2018	Andrea Lucchini
+ PDF Chat	On the orders of the non-Frattini elements of a finite group	2018	Andrea Lucchini
+	The generating graph of the abelian groups	2018	Cristina Acciarri Andrea Lucchini
+	Finite groups with large Chebotarev invariant	2018	Andrea Lucchini Gareth Tracey
+	Maximal irredundant families of minimal size in the alternating group	2018	Martino Garonzi Andrea Lucchini
+	Finite solube groups satisfying the replacement property	2017	Andrea Lucchini
+	The diameter of the generating graph of a finite soluble group	2017	Andrea Lucchini
+	On the orders of the non-Frattini elements of a finite group	2017	Andrea Lucchini
+	Graphs encoding the generating properties of a finite group	2017	Cristina Acciarri Andrea Lucchini
+	The expected number of elements to generate a finite group with $d$-generated Sylow subgroups	2017	Andrea Lucchini Mariapia Moscatiello
+	The Krull-Schmidt Theorem Holds for Finite Direct Products of Biuniform Groups	2017	Alberto Facchini Andrea Lucchini
+	Alternating and symmetric groups with Eulerian generating graph	2017	Andrea Lucchini Claude Marion
+ PDF Chat	The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina	2017	Andrea Lucchini
+	Generating sets of finite groups	2017	Peter J‎. Cameron Andrea Lucchini Colva M. Roney‐Dougal
+ PDF Chat	An upper bound on the Chebotarev invariant of a finite group	2017	Andrea Lucchini Gareth Tracey
+	Intersection of maximal subgroups in prosolvable groups	2017	Iker de las Heras Andrea Lucchini
+	The diameter of the generating graph of a finite soluble group	2017	Andrea Lucchini
+ PDF Chat	ALTERNATING AND SYMMETRIC GROUPS WITH EULERIAN GENERATING GRAPH	2017	Andrea Lucchini Claude Marion
+	Intersection of maximal subgroups in prosolvable groups	2017	Iker de las Heras Andrea Lucchini
+	On the orders of the non-Frattini elements of a finite group	2017	Andrea Lucchini
+	The diameter of the generating graph of a finite soluble group	2017	Andrea Lucchini
+	The expected number of elements to generate a finite group with $d$-generated Sylow subgroups	2017	Andrea Lucchini Mariapia Moscatiello
+	Alternating and symmetric groups with Eulerian generating graph	2017	Andrea Lucchini Claude Marion
+	Graphs encoding the generating properties of a finite group	2017	Cristina Acciarri Andrea Lucchini
+	Finite soluble groups satisfying the replacement property	2017	Andrea Lucchini
+ PDF Chat	Invariable generation of iterated wreath products of cyclic groups	2016	Andrea Lucchini
+ PDF Chat	Maximal subgroups of finite groups avoiding the elements of a generating set	2016	Andrea Lucchini Pablo Spiga
+ PDF Chat	ON THE GENERATING GRAPH OF A SIMPLE GROUP	2016	Andrea Lucchini Attila Maróti Colva M. Roney‐Dougal
+	The limiting distribution of the product replacement algorithm for finitely generated prosoluble groups	2016	Eloisa Detomi Andrea Lucchini Marta Morigi
+ PDF Chat	A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated	2016	Andrea Lucchini
+	Normally $\zeta$-reversible profinite groups	2016	Leone Cesare Cimetta Andrea Lucchini
+	A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated	2016	Andrea Lucchini
+	The swap graph of the finite soluble groups	2016	Marco Di Summa Andrea Lucchini
+ PDF Chat	Irredundant and Minimal Covers of Finite Groups	2016	Andrea Lucchini Martino Garonzi
+ PDF Chat	The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina	2016	Andrea Lucchini
+ PDF Chat	Invariable generation of prosoluble groups	2016	Eloisa Detomi Andrea Lucchini
+	A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated	2016	Andrea Lucchini
+	Probability and Bias in Generating Supersoluble Groups	2015	Eleonora Crestani Giovanni De Franceschi Andrea Lucchini
+ PDF Chat	LARGE <i>P</i>-GROUPS WITHOUT PROPER SUBGROUPS WITH THE SAME DERIVED LENGTH	2015	Eleonora Crestani Andrea Lucchini
+ PDF Chat	The expected number of random elements to generate a finite group	2015	Andrea Lucchini
+ PDF Chat	Maximal subgroups of finite soluble groups in general position	2015	Eloisa Detomi Andrea Lucchini
+	Finite soluble groups satisfying the swap conjecture	2015	Andrea Lucchini
+	Bias of group generators in finite and profinite groups: known results and open problems	2015	Eleonora Crestani Andrea Lucchini
+ PDF Chat	Invariable generation of permutation groups	2015	Eloisa Detomi Andrea Lucchini
+	Maximal subgroups of finite soluble groups in general position	2015	Eloisa Detomi Andrea Lucchini
+	Bias of group generators in the solvable case	2015	Eleonora Crestani Andrea Lucchini
+	Maximal subgroups of finite soluble groups in general position	2015	Eloisa Detomi Andrea Lucchini
+	The Chebotarev invariant of a finite group: a conjecture of Kowalski and Zywina	2015	Andrea Lucchini
+	Irredundant and minimal covers of finite groups	2014	Andrea Lucchini Martino Garonzi
+ PDF Chat	Coprime invariable generation and minimal-exponent groups	2014	Eloisa Detomi Andrea Lucchini Colva M. Roney‐Dougal
+	Invariable generation with elements of coprime prime-power orders	2014	Eloisa Detomi Andrea Lucchini
+	Coprime invariable generation and minimal-exponent groups	2014	Eloisa Detomi Andrea Lucchini Colva M. Roney‐Dougal
+	Invariable generation of prosoluble groups	2014	Eloisa Detomi Andrea Lucchini
+ PDF Chat	Covers and normal covers of finite groups	2014	Martino Garonzi Andrea Lucchini
+	Invariable generation with elements of coprime prime-power order	2014	Eloisa Detomi Andrea Lucchini
+	On the probability of generating a monolithic group	2014	Eloisa Detomi Andrea Lucchini Colva M. Roney‐Dougal
+	Profinite groups in which the probabilistic zeta function coincides with the subgroup zeta function	2014	Erika Damian Andrea Lucchini
+	Invariable generation with elements of coprime prime-power order	2014	Eloisa Detomi Andrea Lucchini
+	Coprime invariable generation and minimal-exponent groups	2014	Eloisa Detomi Andrea Lucchini Colva M. Roney‐Dougal
+	Invariable generation of prosoluble groups	2014	Eloisa Detomi Andrea Lucchini
+	Irredundant and minimal covers of finite groups	2014	Andrea Lucchini Martino Garonzi
+	Minimal generating sets of maximal size in finite monolithic groups	2013	Andrea Lucchini
+	Covers and Normal Covers of Finite Groups	2013	Andrea Lucchini Martino Garonzi
+	Rationality of the probabilistic zeta functions of finitely generated profinite groups	2013	Dung Hoang Duong Andrea Lucchini
+	The largest size of a minimal generating set of a finite group	2013	Andrea Lucchini
+ PDF Chat	A finiteness condition on the coefficients of the probabilistic zeta function	2013	Hoang Dung Duong Andrea Lucchini
+	The generating graph of finite soluble groups	2013	Eleonora Crestani Andrea Lucchini
+	Rationality of the probabilistic zeta function of finitely generated profinite groups	2013	Dung Hoang Duong Andrea Lucchini
+	A finiteness condition on the coefficients of the probabilistic zeta function	2013	Dung Hoang Duong Andrea Lucchini
+	Rationality of the probabilistic zeta function of finitely generated profinite groups	2013	Dung Hoang Duong Andrea Lucchini
+	Covers and Normal Covers of Finite Groups	2013	Andrea Lucchini Martino Garonzi
+	A finiteness condition on the coefficients of the probabilistic zeta function	2013	Dung Hoang Duong Andrea Lucchini
+	Probabilistic generation of finite groups with a unique minimal normal subgroups	2012	Eloisa Detomi Andrea Lucchini
+	The graph of the generating d-tuples of a finite soluble group and the swap conjecture	2012	Eleonora Crestani Andrea Lucchini
+	Direct products of finite groups as unions of proper subgroups	2012	Andrea Lucchini Martino Garonzi
+	d-Wise generation of prosolvable groups	2012	Eleonora Crestani Andrea Lucchini
+ PDF Chat	The non-isolated vertices in the generating graph of a direct powers of simple groups	2012	Eleonora Crestani Andrea Lucchini
+	Direct products of finite groups as unions of proper subgroups	2012	Andrea Lucchini Martino Garonzi
+	Normal coverings of solvable groups	2011	Eleonora Crestani Andrea Lucchini
+	The generating graph of some monolithic groups	2011	Eleonora Crestani Andrea Lucchini
+ PDF Chat	Characterization of finitely generated infinitely iterated wreath products	2011	Eloisa Detomi Andrea Lucchini
+	Characterization of finitely generated infinitely iterated wreath products	2011	Eloisa Detomi Andrea Lucchini
+	Recognizing the prime divisors of the index of a proper subgroup	2011	Andrea Lucchini Marta Morigi
+ PDF Chat	Rings as the Unions of Proper Subrings	2011	Andrea Lucchini Attila Maróti
+	Closed normal subgroups of free pro-<i>S</i>-groups of finite rank	2011	Andrea Lucchini
+	Profinite groups with nonabelian crowns of bounded rank and their probabilistic zeta function	2011	Andrea Lucchini
+	Characterization of finitely generated infinitely iterated wreath products	2011	Eloisa Detomi Andrea Lucchini
+ PDF Chat	Boundedly generated subgroups of finite groups	2010	Andrea Lucchini Marta Morigi Pavel Shumyatsky
+ PDF Chat	On profinite groups with polynomially bounded Möbius numbers	2010	Andrea Lucchini
+	On subgroups with non-zero Möbius numbers in the alternating and symmetric groups	2010	Valentina Colombo Andrea Lucchini
+ PDF Chat	Direct products of finite groups as unions of proper subgroups	2010	Martino Garonzi Andrea Lucchini
+ PDF Chat	Hamiltonian cycles in the generating graphs of finite groups	2010	Thomas Breuer Robert M. Guralnick Andrea Lucchini A. Maróti Gábor P. Nagy
+	Rings as the unions of proper subrings	2010	Andrea Lucchini Attila Maróti
+	On the subgroups with non-trivial Möbius number	2010	Andrea Lucchini
+	Rings as the unions of proper subrings	2010	Andrea Lucchini Attila Maróti
+ PDF Chat	Some results and questions related to the generating graph of a finite group	2009	Andrea Lucchini Attila Maróti
+ PDF Chat	On the clique number of the generating graph of a finite group	2009	Andrea Lucchini Attila Maróti
+	The Probabilistic Zeta Function of Alternating and Symmetric Groups	2009	Andrea Lucchini Marilena Massa
+ PDF Chat	On finite simple groups and Kneser graphs	2009	Andrea Lucchini Attila Maróti
+ PDF Chat	d-WISE GENERATION OF SOME INFINITE GROUPS	2008	Andrea Lucchini Attila Maróti Darren Semmen
+	Nilpotent groups of semilinear transformations which are monomial	2008	Andrea Lucchini M. Chiara Tamburini
+	ON THE STRUCTURE OF PRIMITIVE N-SUM GROUPS	2008	Eloisa Detomi Andrea Lucchini
+ PDF Chat	Complements of the socle in monolithic groups	2007	Andrea Lucchini Federico Menegazzo Marta Morigi
+	Finite Groups with<i>p</i>-Multiplicative Probabilistic Zeta Function	2007	Erika Damian Andrea Lucchini
+	SOME GENERALIZATIONS OF THE PROBABILISTIC ZETA FUNCTION	2007	Eloisa Detomi Andrea Lucchini
+	The probabilistic zeta function of finite simple groups	2007	Erika Damian Andrea Lucchini
+ PDF Chat	Non-prosoluble profinite groups with a rational probabilistic zeta function	2007	Eloisa Detomi Andrea Lucchini
+ PDF Chat	Subgroups of solvable groups with non-zero Möbius function	2007	Andrea Lucchini
+	On the probability of generating prosoluble groups	2006	Andrea Lucchini Federico Menegazzo Marta Morigi
+	On the Dirichlet polynomial of finite group of Lie type	2006	Erika Damian Andrea Lucchini
+	Crowns In Profinite Groups And Applications	2005	Andrea Lucchini Eloisa Detomi
+	A PROBABILISTIC GENERALIZATION OF SUBNORMALITY	2005	Erika Damian Andrea Lucchini
+	The X-Dirichlet polynomial of a finite group	2005	Andrea Lucchini
+	Generating Permutation Groups	2004	Andrea Lucchini Francesca Menegazzo Marta Morigi
+	A 2-generated just-infinite profinite group which is not positively generated	2004	Andrea Lucchini
+ PDF Chat	RECOGNIZING THE ALTERNATING GROUPS FROM THEIR PROBABILISTIC ZETA FUNCTION	2004	Erika Damian Andrea Lucchini
+	PROFINITE GROUPS WITH MULTIPLICATIVE PROBABILISTIC ZETA FUNCTION	2004	Eloisa Detomi Andrea Lucchini
+	The probability of generating a permutation group	2004	Andrea Lucchini Fiorenza Morini
+	Some properties of the probabilistic zeta function of finite simple groups	2004	Erika Damian Andrea Lucchini Fiorenza Morini
+	Complements of the socle in almost simple groups	2004	Andrea Lucchini Federico Menegazzo Marta Morigi
+	On subgroups containing non-trivial normal subgroups	2003	Marcel Herzog Gil Kaplan Andrea Lucchini
+	RECOGNIZING SOLUBLE GROUPS FROM THEIR PROBABILISTIC ZETA FUNCTIONS	2003	Eloisa Detomi Andrea Lucchini
+	Crowns and factorization of the probabilistic zeta function of a finite group	2003	Eloisa Detomi Andrea Lucchini
+ PDF Chat	SOME REMARKS ON THE PROBABILITY OF GENERATING AN ALMOST SIMPLE GROUP	2003	Francesca Dalla Volta Andrea Lucchini Fiorenza Morini
+ PDF Chat	On the existence of a complement for a finite simple group in its automorphism group	2003	Andrea Lucchini Federico Menegazzo Marta Morigi
+	None	2003	Andrea Lucchini Mario Mainardis Bernd Stellmacher
+	How many elements are needed to generate a finite group with good probability?	2002	Eloisa Detomi Andrea Lucchini Fiorenza Morini
+ PDF Chat	On the probability of generating finite groups with a unique minimal normal subgroup	2002	Andrea Lucchini Fiorenza Morini
+	On the Number of Generators of Finite Images of Free Products of Finite Groups	2001	Andrea Lucchini
+ PDF Chat	On the probability of generating a minimal <i>d</i>-generated group	2001	Francesca Dalla Volta Andrea Lucchini Fiorenza Morini
+	On the Number of Generators and Composition Length of Finite Linear Groups	2001	Andrea Lucchini Francesca Menegazzo Marta Morigi
+	Tensor products of primitive modules	2001	Andrea Lucchini M. C. Tamburini
+	On the minimal number of generators of free profinite products of profinite groups	2001	Andrea Lucchini
+	Asymptotic Results for Transitive Permutation Groups	2000	Andrea Lucchini Federico Menegazzo Marta Morigi
+	Hurwitz Groups of Large Rank	2000	Andrea Lucchini M. C. Tamburini John S. Wilson
+	On groups with<i>d</i>-generator subgroups of coprime index	2000	Andrea Lucchini
+	Asymptotic Results for Primitive Permutation Groups and Irreducible Linear Groups	2000	Andrea Lucchini Francesca Menegazzo Marta Morigi
+ PDF Chat	Minimal generation of finite soluble groups by projectors and normalizers	1999	Andrea Lucchini M. C. Tamburini
+	(2, 3, k )-generated groups of large rank	1999	Andrea Lucchini
+	Classical Groups of Large Rank as Hurwitz Groups	1999	Andrea Lucchini M. C. Tamburini
+	The smallest group with non-zero presentation rank	1999	Francesca Dalla Volta Andrea Lucchini
+	Enumerating Transitive Finite Permutation Groups	1998	Andrea Lucchini
+ PDF Chat	Finite groups that need more generators than any proper quotient	1998	Francesca Dalla Volta Andrea Lucchini
+	Generating Minimally Transitive Groups	1998	Andrea Lucchini
+	On the conjugacy problem for carter subgroups	1998	Francesca Dalla Volta Andrea Lucchini M. C. Tamburini
+	On the order of transitive permutation groups with cyclic point-stabilizer	1998	Andrea Lucchini
+	On Representing Finite Lattices as Intervals in Subgroup Lattices of Finite Groups	1997	Robert W. Baddeley Andrea Lucchini
+	Generators for finite groups with a unique minimal normal subgroup	1997	Andrea Lucchini Federico Menegazzo
+	MINIMAL NUMBER OF GENERATORS AND COMPOSITION LENGTH OF SOCLE IN FINITE GROUPS	1996	Francesca Dalla Volta Andrea Lucchini
+	Generators and minimal normal subgroups	1995	Andrea Lucchini
+	Intervals in subgroup lattices of finite groups	1994	Andrea Lucchini
+	On subgroups of index p<sup>3</sup>	1991	Andrea Lucchini
+	On imprimitive groups with small degree	1991	Andrea Lucchini
+	Some questions on the number of generators of a finite group	1990	Andrea Lucchini
+	A bound on the number of generators of a finite group	1989	Andrea Lucchini
+	On $p$-groups whose $L$-automorphism group is transitive on the atoms	1988	Andrea Lucchini

Common Coauthors

Coauthor	Papers Together
Eloisa Detomi	38
Daniele Nemmi	20
Pablo Spiga	20
Mariapia Moscatiello	17
Marta Morigi	17
Martino Garonzi	16
Eleonora Crestani	10
Cristina Acciarri	8
Colva M. Roney‐Dougal	8
Gareth Tracey	8
Attila Maróti	8
Francesca Dalla Volta	7
Erika Damian	7
Federico Menegazzo	6
Fiorenza Morini	6
Timothy C. Burness	6
M. C. Tamburini	5
Dung Hoang Duong	5
Luca Sabatini	4
Claude Marion	4
Pavel Shumyatsky	3
Francesca Menegazzo	3
Iker de las Heras	3
Santanu Mandal	2
Dhara Thakkar	2
Mauro Costantini	2
Pallabi Manna	2
Saul D. Freedman	2
Dmitry Malinin	2
Scott Harper	2
Nowras Otmen	2
Mima Stanojkovski	2
Daniele Garzoni	2
Sébastien Palcoux	1
Marilena Massa	1
Marcel Herzog	1
Robert W. Baddeley	1
Giovanni De Franceschi	1
A. Maróti	1
Bernd Stellmacher	1
Gil Kaplan	1
Valentina Colombo	1
Peter J‎. Cameron	1
Carmine Monetta	1
Valentina Grazian	1
John Wilson	1
Gábor P. Nagy	1
Gunnar Traustason	1
Hoang Dung Duong	1
Robert M. Guralnick	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Crowns and factorization of the probabilistic zeta function of a finite group	2003	Eloisa Detomi Andrea Lucchini	43
+ PDF Chat	Finite groups that need more generators than any proper quotient	1998	Francesca Dalla Volta Andrea Lucchini	41
+	Zu einem von B. H. und H. Neumann gestellten Problem	1955	Wolfgang Gaschütz	34
+	Positively finitely generated groups	1996	Avinoam Mann	31
+ PDF Chat	Die Eulersche Funktion endlicher auflösbarer Gruppen	1959	Wolfgang Gaschütz	31
+	Some applications of the first cohomology group	1984	Michael Aschbacher Robert M. Guralnick	28
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck	27
+	Probabilistic generation of finite simple groups, II	2008	Thomas Breuer Robert M. Guralnick William M. Kantor	26
+	Generators for finite groups with a unique minimal normal subgroup	1997	Andrea Lucchini Federico Menegazzo	18
+	Probabilistic Generation of Finite Simple Groups	2000	Robert M. Guralnick William M. Kantor	18
+	The probability of generating a finite classical group	1990	WilliamM. Kantor Alexander Lubotzky	17
+	The X-Dirichlet polynomial of a finite group	2005	Andrea Lucchini	17
+	On complemented nonabelian chief factors of a finite group	1998	Paz Jiménez–Seral Julio Lafuente	17
+	The generating graph of finite soluble groups	2013	Eleonora Crestani Andrea Lucchini	16
+	Classes of Finite Groups	2006	A. Ballester‐Bolinches Luis M. Ezquerro	16
+	Random sets which invariably generate the symmetric group	1992	John D. Dixon	16
+	Simple Groups, Probabilistic Methods, and a Conjecture of Kantor and Lubotzky	1996	Martin W. Liebeck Aner Shalev	15
+	The largest size of a minimal generating set of a finite group	2013	Andrea Lucchini	14
+	Simple groups, maximal subgroups, and probabilistic aspects of profinite groups	1996	Avinoam Mann Aner Shalev	14
+ PDF Chat	On the O'Nan-Scott theorem for finite primitive permutation groups	1988	Martin W. Liebeck Cheryl E. Praeger Jan Saxl	14
+	Permutation Groups	1996	Brian Mortimer John D. Dixon	14
+	Chains of subgroups in symmetric groups	1989	Peter J‎. Cameron Ron Solomon Alexandre Turull	14
+	Maximal Independent Generating Sets of the Symmetric Group	2000	Julius Whiston	13
+ PDF Chat	Hamiltonian cycles in the generating graphs of finite groups	2010	Thomas Breuer Robert M. Guralnick Andrea Lucchini A. Maróti Gábor P. Nagy	13
+	The diameter of the generating graph of a finite soluble group	2017	Andrea Lucchini	13
+	The Coset Poset and Probabilistic Zeta Function of a Finite Group	2000	Kenneth S. Brown	13
+	The Maximal Subgroups of the Low-Dimensional Finite Classical Groups	2013	John N. Bray Derek F. Holt Colva M. Roney‐Dougal	13
+	Sets of elements that pairwise generate a linear group	2007	John R. Britnell Anton Evseev Robert M. Guralnick P.E. Holmes Attila Maróti	13
+	d-Wise generation of prosolvable groups	2012	Eleonora Crestani Andrea Lucchini	13
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	13
+	Invariable generation and the Chebotarev invariant of a finite group	2011	William M. Kantor Alexander Lubotzky Aner Shalev	13
+ PDF Chat	On the clique number of the generating graph of a finite group	2009	Andrea Lucchini Attila Maróti	12
+ PDF Chat	Groups as the union of proper subgroups.	1997	M. J. Tomkinson	12
+	A probabilistic generalization of the Riemann zeta function	1996	Nigel Boston	11
+	Sets of permutations that generate the symmetric group pairwise	2006	Simon R. Blackburn⋆	10
+ PDF Chat	The non-isolated vertices in the generating graph of a direct powers of simple groups	2012	Eleonora Crestani Andrea Lucchini	10
+	Finite Soluble Groups	1992	Klaus Doerk Trevor Hawkes	10
+	Independent generating sets and geometries for symmetric groups	2002	Peter J‎. Cameron Philippe Cara	10
+	Covering the symmetric groups with proper subgroups	2005	Attila Maróti	10
+	The smallest group with non-zero presentation rank	1999	Francesca Dalla Volta Andrea Lucchini	10
+	A PROBABILISTIC ZETA FUNCTION FOR ARITHMETIC GROUPS	2005	Avinoam Mann	10
+ PDF Chat	The probability of generating a finite simple group	2013	Nina E. Menezes Martyn Quick Colva M. Roney‐Dougal	10
+	Generators and minimal normal subgroups	1995	Andrea Lucchini	9
+ PDF Chat	On abelian quotients of primitive groups	1989	Michael Aschbacher Robert M. Guralnick	9
+ PDF Chat	Subgroups of solvable groups with non-zero Möbius function	2007	Andrea Lucchini	9
+	On the maximal subgroups of the finite classical groups	1984	Michael Aschbacher	9
+	The presentation rank of a direct product of finite groups	1974	John Cossey K. W. Gruenberg László Kovács	9
+	PROFINITE GROUPS WITH MULTIPLICATIVE PROBABILISTIC ZETA FUNCTION	2004	Eloisa Detomi Andrea Lucchini	9
+	Probabilistic generation of finite groups with a unique minimal normal subgroups	2012	Eloisa Detomi Andrea Lucchini	9
+	A generalization of the Burnside basis theorem	2013	Paul Apisa Benjamin Klopsch	9