Richard Lyons

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All published works

Action	Title	Year	Authors
+	Theorem 𝒞₄*: Stage A3. 𝒦ℳ-singularities	2023	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	The Classification of the Finite Simple Groups, Number 10	2023	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	General group-theoretic lemmas	2023	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	Properties of 𝒦-groups	2023	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	The Classification of the Finite Simple Groups, Number 9	2021	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	General group-theoretic lemmas, and recognition theorems	2021	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	Preliminary properties of 𝒦-groups	2021	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	Introduction to theorem 𝒞₅	2021	Inna Capdeboscq Daniel Gorenstein Richard Lyons Ronald Solomon
+	The Classification of the Finite Simple Groups, Number 8	2018	Daniel Gorenstein Richard Lyons Ronald Solomon
+ PDF Chat	Theorem 𝒞*₇: Stage 4b+—A large Lie-type subgroup 𝒢₀ for 𝓅=2	2018	Daniel Gorenstein Richard Lyons Ronald Solomon
+ PDF Chat	Order of products of elements in finite groups	2018	Antonio Beltrán Richard Lyons Alexander Moretó Gabriel Navarro Azahara Sáez Pham Huu Tiep
+	The Classification of the Finite Simple Groups, Number 7	2018	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Properties of 𝒦-groups	2018	Daniel Gorenstein Richard Lyons Ronald Solomon
+ PDF Chat	Fast Litho-panspermia in the Habitable Zone of the TRAPPIST-1 System	2017	Sebastiaan Krijt T. J. Bowling Richard Lyons F. J. Ciesla
+ PDF Chat	Sloan Digital Sky Survey III photometric quasar clustering: probing the initial conditions of the Universe	2015	Shirley Ho Nishant Agarwal Adam D. Myers Richard Lyons Ashley Disbrow Hee‐Jong Seo Ashley J. Ross Christopher M. Hirata Nikhil Padmanabhan Ross O’Connell
+	The Work of John Griggs Thompson: A Survey	2013	Richard Lyons Robert M. Guralnick
+	Automorphism groups of sporadic groups	2011	Richard Lyons
+	𝑒(𝐺)≤2: The classification of quasithin groups	2011	Michael Aschbacher Richard Lyons Stephen D. Smith Ronald Solomon
+	Overview: The classification of groups of Gorenstein-Walter type	2011	Michael Aschbacher Richard Lyons Stephen M. Smith Ronald Solomon
+	Some background material related to simple groups	2011	Michael Aschbacher Richard Lyons Stephen D. Smith Ronald Solomon
+	𝑒(𝐺)≥4: The pretrichotomy and trichotomy theorems	2011	Michael Aschbacher Richard Lyons Stephen D. Smith Ronald Solomon
+	The Classification of Finite Simple Groups: Groups of Characteristic 2 Type	2011	Michael Aschbacher Richard Lyons Stephen D. Smith Ronald Solomon
+	A {2<i>,</i>3}-local shadow of O’Nan’s simple group	2008	Inna Korchagina Richard Lyons
+	A <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">{</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">}</mml:mo></mml:math>-local characterization of the groups <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mi>A</mml:mi><mml:mn>12</mml:mn></mml:msub></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.…	2006	Inna Korchagina Richard Lyons
+	The Classification of the Finite Simple Groups, Number 6	2004	Daniel Gorenstein Richard Lyons Ronald Solomon
+	𝐼𝑉_{𝐾}: Preliminary properties of 𝒦-groups	2004	Daniel Gorenstein Richard Lyons Ronald Solomon
+	The Classification of the Finite Simple Groups, Number 2	2002	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Toward a characterization of the sporadic groups of Suzuki and Thompson	2002	Inna Korchagina Richard Lyons Ronald Solomon
+	The Classification of the Finite Simple Groups, Number 5	2002	Daniel Gorenstein Richard Lyons Ronald Solomon
+	General group-theoretic results	2002	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Properties of 𝒦-groups	1999	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Strongly embedded subgroups and related conditions on involutions	1999	Daniel Gorenstein Richard Lyons Ronald Solomon
+ PDF Chat	The Classification of the Finite Simple Groups, Number 4	1999	Daniel Gorenstein Richard Lyons Ronald Solomon
+	The alternating groups and the twenty-six sporadic groups	1997	Daniel Gorenstein Richard Lyons Ronald Solomon
+	General properties of 𝒦-groups	1997	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Local subgroups of groups of Lie type, I	1997	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Some theory of linear algebraic groups	1997	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Coverings and embeddings of quasisimple 𝒦-groups	1997	Daniel Gorenstein Richard Lyons Ronald Solomon
+	The finite groups of Lie type	1997	Daniel Gorenstein Richard Lyons Ronald Solomon
+	The Classification of the Finite Simple Groups	1994	Daniel Gorenstein Richard Lyons Ronald Solomon
+	On aschbacher’s localC(G; T) theorem	1993	Daniel Gorenstein Richard Lyons
+	On Split (B, N)-Pairs of Rank 2	1993	Daniel Gorenstein Richard Lyons Ron Solomon
+	Sylow <i>p</i> -Subgroups and Subnormal Subgroups of Finite Groups	1993	Robert M. Guralnick Peter B. Kleidman Richard Lyons
+	Nonsolvable signalizer functors revisited	1990	Daniel Gorenstein Richard Lyons
+	Signalizer functors and fusion in finite groups	1990	Daniel Gorenstein Richard Lyons
+	Generation of finite chevalley groups of odd characteristic	1990	Richard Lyons
+	Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups	1990	Wolfgang Kimmerle Richard Lyons Robert Sandling David N. Teague
+	The schur multiplier of<i>F</i><sub>3</sub>Is trivial	1984	Richard Lyons
+	The local structure of finite groups of characteristic 2 type	1983	Daniel Gorenstein Richard Lyons
+	Signalizer functors, proper 2-generated cores, and nonconnected groups	1982	Daniel Gorenstein Richard Lyons
+	The Embedding of 2-Locals in Finite Groups of Characteristic 2-Type, I	1981	Michael Aschbacher Daniel Gorenstein Richard Lyons
+ PDF Chat	Signalizer functors in groups of characteristic 2 type	1981	Richard Lyons
+ PDF Chat	Maximal subgroups and automorphisms of Chevalley groups	1977	N. Burgoyne Robert L. Griess Richard Lyons
+	Non-Solvable Signalizer Functors on Finite Groups	1977	Daniel Gorenstein Richard Lyons
+	Nonsolvable finite groups with solvable 2-local subgroups	1976	Daniel Gorenstein Richard Lyons
+	FINITE GROUPS OF 2-LOCAL 3-RANK AT MOST 1	1976	Daniel Gorenstein Richard Lyons
+	FIELD AUTOMORPHISMS AND MAXIMAL SUBGROUPS OF FINITE CHEVALLEY GROUPS	1976	N. Burgoyne Robert L. Griess Richard Lyons
+ PDF Chat	The automorphism group of the Tits simple group ²𝐹₄(2)^{’}	1975	Robert L. Griess Richard Lyons
+	A characterization of some groups of characteristic two	1974	Richard Lyons Wen-Jin Woan
+	Evidence for a new finite simple group	1972	Richard Lyons
+	A Characterization of the Group U 3 (4)	1972	Richard Lyons
+ PDF Chat	A characterization of the group 𝑈₃(4)	1972	Richard Lyons
+	A proof of the theorem of the double-six	1941	Richard Lyons
+	A proof of a generalization of gaskin's theorem	1940	Richard Lyons
+	1125. Note on the Tetrad whose opposite joins are conjugate lines with regard to a given quadric	1934	Richard Lyons
+	A Descriptive Proof of a Theorem for Conic Sections	1932	Richard Lyons
+	1026. The angle between the lines in which a quadric cone is cut by a plane through the vertex	1932	Richard Lyons

Common Coauthors

Coauthor	Papers Together
Daniel Gorenstein	37
Ronald Solomon	33
Inna Capdeboscq	8
Michael Aschbacher	6
Stephen D. Smith	4
Inna Korchagina	3
Robert L. Griess	3
Robert M. Guralnick	2
N. Burgoyne	2
J. Brinkmann	1
Sebastiaan Krijt	1
Michael A. Strauss	1
Christophe Yèche	1
Eric Huff	1
Robert Sandling	1
David J. Schlegel	1
Neta A. Bahcall	1
Pham Huu Tiep	1
Ashley Disbrow	1
Shirley Ho	1
Nikhil Padmanabhan	1
Gabriel Navarro	1
David H. Weinberg	1
Ashley J. Ross	1
Stephen M. Smith	1
Alexander Moretó	1
Nicholas P. Ross	1
Antonio Beltrán	1
Peter B. Kleidman	1
David N. Teague	1
Ross O’Connell	1
Hee‐Jong Seo	1
T. J. Bowling	1
Adam D. Myers	1
Ron Solomon	1
Christopher M. Hirata	1
Nishant Agarwal	1
Wen-Jin Woan	1
Donald P. Schneider	1
F. J. Ciesla	1
Anže Slosar	1
Azahara Sáez	1
Wolfgang Kimmerle	1
N. Palanque‐Delabrouille	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The local structure of finite groups of characteristic 2 type	1983	Daniel Gorenstein Richard Lyons	9
+ PDF Chat	Nonsolvable finite groups all of whose local subgroups are solvable	1968	John G. Thompson	7
+	Central elements in core-free groups	1966	George Glauberman	7
+	Transitive gruppen gerader ordnung, in denen jede involution genau einen punkt festläβt	1971	Helmut Bender	5
+	A new finite simple group with abelian Sylow 2-subgroups and its characterization	1966	Zvonimir Janko	5
+ PDF Chat	Chapter I, from Solvability of groups of odd order, Pacific J. Math, vol. 13, no. 3 (1963	1963	Walter Feit John Thompson	5
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald	4
+	Finite groups whose 2-subgroups are generated by at most 4 elements	1974	Daniel Gorenstein Koichiro Harada	4
+ PDF Chat	Involutions in Chevalley groups over fields of even order	1976	Michael Aschbacher Gary M. Seitz	4
+	Lectures on Chevalley Groups	2016	Robert Steinberg	4
+	The Characterization of Finite Groups with Abelian Sylow 2-Subgroups	1969	John H. Walter	4
+	The Classification of the Finite Simple Groups	1994	Daniel Gorenstein Richard Lyons Ronald Solomon	4
+	Solvable signalizer functors on finite groups	1972	David M. Goldschmidt	4
+	Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen.	1911	Julia Schur	3
+ PDF Chat	The $\pi$-layer of a finite group	1971	Daniel Gorenstein John H. Walter	3
+	Centralizers of involutions in balanced groups	1972	Daniel Gorenstein John H. Walter	3
+	On finite simple groups whose Sylow 2-subgroups have no normal elementary subgroups of order 8	1970	Zvonimir Janko John G. Thompson	3
+	Fixed points ofp-groups acting onp-groups	1964	John G. Thompson	3
+ PDF Chat	Schur multipliers of finite simple groups of Lie type	1973	Robert L. Griess	3
+ PDF Chat	Generation of finite groups of Lie type	1982	Gary M. Seitz	3
+ PDF Chat	Nonsolvable finite groups all of whose local subgroups are solvable. II	1970	John F. Thompson	3
+ PDF Chat	Maximal subgroups and automorphisms of Chevalley groups	1977	N. Burgoyne Robert L. Griess Richard Lyons	3
+ PDF Chat	Semi-simple classes in Chevalley type groups	1977	N. Burgoyne C. Williamson	3
+	Centralizers of p-groups in groups of characteristic 2, p-type	1975	Kenneth Klinger Geoffrey Mason	3
+	Pushing-up in finite groups	1979	Richard Niles	3
+	On groups with a standard component of known type. II	1981	Michael Aschbacher Gary M. Seitz	2
+	On a Class of Doubly Transitive Groups: II	1964	Michio Suzuki	2
+ PDF Chat	The friendly giant	1982	Robert L. Griess	2
+ PDF Chat	Factorizations of<i>p</i>-solvable groups	1966	John F. Thompson	2
+	SOLVABILITY OF GROUPS OF ODD ORDER	2012	Walter Feit John G. Thompson John G. Thompson	2
+ PDF Chat	On 2-groups with no normal abelian subgroups of rank 3, and their occurrence as Sylow 2-subgroups of finite simple groups	1970	Anne R. MacWilliams	2
+	Finite Group Theory	2000	Michael Aschbacher	2
+	Toward a characterization of the sporadic groups of Suzuki and Thompson	2002	Inna Korchagina Richard Lyons Ronald Solomon	2
+ PDF Chat	Schur multipliers of the known finite simple groups	1972	Robert L. Griess	2
+	La Géométrie des Groupes Classiques	1963	Jean Dieudonné	2
+	Zur Darstellungstheorie der Gruppen endlicher Ordnung. II	1959	Richard Brauer	2
+ PDF Chat	Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups.	1970	J. L. Alperin Richard Brauer Daniel Gorenstein	2
+	On Janko's Simple Group of Order 50,232,960	1969	Graham Higman John McKay	2
+	2-Fusion in Finite Groups	1974	David M. Goldschmidt	2
+	The Classification of the Finite Simple Groups	1980	Michael Aschbacher	2
+	On Solvable Signalizer Functors in Finite Groups	1976	George Glauberman	2
+	A conjugation family for finite groups	1970	David M. Goldschmidt	2
+	Characters of finite groups	1965	Walter Feit	2
+	�l�ments unipotents et sous-groupes paraboliques de groupes r�ductifs. I	1971	Armand Borel Jacques Tits	2
+	On a class of finite simple groups of Ree	1966	Zvonimir Janko John G. Thompson	2
+	The characterization of finite groups with dihedral Sylow 2-subgroups. I	1965	Daniel Gorenstein John H. Walter	2
+ PDF Chat	Near solvable signalizer functors on finite groups	1982	Patrick Paschal McBride	2
+ PDF Chat	An algebraic classification of certain simple even-dimensional knots	1983	C. Kearton	2
+	A characterization of Janko's two new simple groups	1970	Daniel Gorenstein Koichiro Harada	2
+	TOWARD A CHARACTERIZATION OF CONWAY'S GROUP Co3	2003	Inna Korchagina Ronald Solomon	2