A conjecture on product decompositions in simple groups

Martin W. Liebeck, Nikolay Nikolov, Aner Shalev

Type: Article

Publication Date: 2010-10-15

Citations: 13

DOI: https://doi.org/10.4171/ggd/107

Abstract

We propose a conjecture concerning decompositions of finite simple groups as products of conjugate subgroups, and prove it for a large class of maximal subgroups.

Locations

Groups Geometry and Dynamics - View - PDF

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Works That Cite This (13)

Action	Title	Year	Authors
+	Factorizing a Finite Group into Conjugates of a Subgroup	2014	Dan Lévy Martino Garonzi
+ PDF Chat	Product decompositions in finite simple groups	2011	Martin W. Liebeck Nikolay Nikolov Aner Shalev
+	On the product decomposition conjecture for finite simple groups	2011	Nick Gill László Pyber Ian Short Endre Szabó
+	Primitive permutation groups as products of point stabilizers	2016	Martino Garonzi Dan Lévy Attila Maróti Iulian I. Simion
+ PDF Chat	SL2-factorizations of Chevalley groups	2013	N. A. Vavilov E. I. Kovach
+ PDF Chat	Groups equal to a product of three conjugate subgroups	2016	John Cannon Martino Garonzi Dan Lévy Attila Maróti Iulian I. Simion
+	Factorizing a finite group into conjugates of a subgroup	2014	Martino Garonzi Dan Lévy
+ PDF Chat	On the product decomposition conjecture for finite simple groups	2013	Nick Gill László Pyber Ian Short Endre Szabó
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Works Cited by This (25)

Action	Title	Year	Authors
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald
+ PDF Chat	On the subgroup structure of exceptional groups of Lie type	1998	Martin W. Liebeck Gary M. Seitz
+	On the maximal subgroups of the finite classical groups	1984	Michael Aschbacher
+	On the Diameter of a Cayley Graph of a Simple Group of Lie Type Based on a Conjugacy Class	1998	R. Lawther Martin W. Liebeck
+	Finite linear groups and bounded generation	2001	Martin W. Liebeck L. Pyber
+ PDF Chat	Universal lattices and unbounded rank expanders	2007	Martin Kassabov
+ PDF Chat	Product decompositions of quasirandom groups and a Jordan type theorem	2011	Nikolay Nikolov László Pyber
+ PDF Chat	Finite simple groups as expanders	2006	Martin Kassabov Alexander Lubotzky Nikolay Nikolov
+	On the orders of Primitive Permutation Groups	1980	Cheryl E. Praeger Jan Saxl