Probabilistic Generation of Finite Simple Groups

Robert M. Guralnick, William M. Kantor

Type: Article

Publication Date: 2000-12-01

Citations: 128

DOI: https://doi.org/10.1006/jabr.2000.8357

View Publication

Locations

Journal of Algebra - View
CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Probabilistic generation of finite simple groups, II	2008	Thomas Breuer Robert M. Guralnick William M. Kantor
+	The probability of generating a finite simple group	1995	Martin W. Liebeck Aner Shalev
+ PDF Chat	Probabilistic generation of finite almost simple groups	2024	Jason Fulman Daniele Garzoni Robert M. Guralnick
+ PDF Chat	Probabilistic Generation of Finite Almost Simple Groups	2024	Jason Fulman Daniele Garzoni Robert M. Guralnick
+	Simple groups, generation and probabilistic methods	2017	Timothy C. Burness
+	Probabilistic and Asymptotic Aspects of Finite Simple Groups	2012	Martin W. Liebeck
+ PDF Chat	Simple Groups, Generation and Probabilistic Methods	2019	Timothy C. Burness
+ PDF Chat	The probability of generating a finite simple group	2013	Nina E. Menezes Martyn Quick Colva M. Roney‐Dougal
+	Random Generation of Finite Simple Groups	1999	Robert M. Guralnick Martin W. Liebeck Jan Saxl Aner Shalev
+ PDF Chat	Simple groups, permutation groups, and probability	1999	Martin W. Liebeck Aner Shalev
+	Generation and random generation: From simple groups to maximal subgroups	2013	Timothy C. Burness Martin W. Liebeck Aner Shalev
+	How many elements are needed to generate a finite group with good probability?	2002	Eloisa Detomi Andrea Lucchini Fiorenza Morini
+	Probabilistic Group Theory	2004	John D. Dixon
+	Topological generation of simple algebraic groups	2021	Timothy C. Burness Spencer Gerhardt Robert M. Guralnick
+	Topological generation of simple algebraic groups	2024	Timothy C. Burness Spencer Gerhardt Robert M. Guralnick
+	The probability of generating a permutation group	2004	Andrea Lucchini Fiorenza Morini
+	Mixing and generation in simple groups	2007	Aner Shalev
+	Zero-one generation laws for finite simple groups	2018	Robert M. Guralnick Martin W. Liebeck Frank Lübeck Aner Shalev
+	Zero-one generation laws for finite simple groups	2018	Robert M. Guralnick Martin W. Liebeck Frank Lübeck Aner Shalev
+ PDF Chat	SOME REMARKS ON THE PROBABILITY OF GENERATING AN ALMOST SIMPLE GROUP	2003	Francesca Dalla Volta Andrea Lucchini Fiorenza Morini

Works That Cite This (127)

Action	Title	Year	Authors
+	Generation of finite simple groups by an involution and an element of prime order	2017	Carlisle S. H. King
+	Characterizations of the solvable radical	2009	Paul Flavell Simon D. Guest Robert M. Guralnick
+ PDF Chat	Between the enhanced power graph and the commuting graph	2022	Peter J‎. Cameron Bojan Kuzma
+	On the soluble graph of a finite group	2022	Timothy C. Burness Andrea Lucchini Daniele Nemmi
+ PDF Chat	Probabilistic generation of finite almost simple groups	2024	Jason Fulman Daniele Garzoni Robert M. Guralnick
+ PDF Chat	Presentations of finite simple groups: a computational approach	2010	Robert M. Guralnick William M. Kantor Martin Kassabov Alexander Lubotzky
+	On m-partite oriented semiregular representations of finite groups generated by two elements	2024	Jia‐Li Du Young Soo Kwon Fu‐Gang Yin
+	On oriented m-semiregular representations of finite groups about valency two	2022	Jia‐Li Du Young Soo Kwon Da-Wei Yang
+	A complete classification of shuffle groups	2024	Binzhou Xia Junyang Zhang Zhishuo Zhang Wen Ying Zhu
+	Mixing and generation in simple groups	2007	Aner Shalev

Works Cited by This (30)

Action	Title	Year	Authors
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck
+	An Atlas of Brauer Characters	1995	Christopher Jansen
+	The local structure of finite groups of characteristic 2 type	1983	Daniel Gorenstein Richard Lyons
+	The maximal subgroups of the chevalley groups G2(q) with q odd, the Ree groups 2G2(q), and their automorphism groups	1988	Peter B. Kleidman
+	Generation of classical groups	1994	Gunter Malle Jan Saxl Thomas Weigel
+	Generation of simple groups	1986	Robert M. Guralnick
+	The probability of generating a classical group	1994	Robert M. Guralnick William M. Kantor Jan Saxl
+	Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces	1991	Martin W. Liebeck Jan Saxl
+	(2,3)-Generation of Exceptional Groups	1999	Frank Lübeck Gunter Malle
+	On the Minimal Degree of a Primitive Permutation Group	1998	Robert M. Guralnick Kay Magaard