Product decompositions in finite simple groups

Product decompositions in finite simple groups

We propose a general conjecture on decompositions of finite simple groups as products of conjugates of an arbitrary subset. We prove this conjecture for bounded subsets of arbitrary finite simple groups, and for large subsets of groups of Lie type of bounded rank. Some of our arguments apply recent...

書誌詳細
主要な著者:	Liebeck, M, Nikolov, N, Shalev, A
フォーマット:	Journal article
言語:	English
出版事項:	2011

類似資料

A conjecture on product decompositions in simple groups
著者:: Liebeck, M, 等
出版事項: (2010)

Groups of Lie type as products of SL2 subgroups
著者:: Liebeck, M, 等
出版事項: (2011)

Algorithms determining finite simple images of finitely presented groups
著者:: Bridson, M, 等
出版事項: (2019)

Finite permutation groups
著者:: Liebeck, M, 等
出版事項: (1979)

Finite simple groups as expanders.
著者:: Kassabov, M, 等
出版事項: (2006)

Character bounds for finite groups of Lie type
著者:: Bezrukavnikov, Roman, 等
出版事項: (2021)

Words with few values in finite simple groups
著者:: Kassabov, M, 等
出版事項: (2011)

Words with few values in finite simple groups
著者:: Kassabov, M, 等
出版事項: (2012)

The maximal factorizations of the finite simple groups and their antomorphism ground /
著者:: Liebeck, M. W. (Martin W.), 1954-, 等
出版事項: (1990)

A product decomposition for the classical quasisimple groups
著者:: Nikolov, N
出版事項: (2007)

On finitely generated profinite groups II, products in quasisimple groups
著者:: Nikolov, N, 等
出版事項: (2006)

Product decompositions of quasirandom groups and a Jordan type theorem
著者:: Nikolov, N, 等
出版事項: (2007)

Product growth and mixing in finite groups.
著者:: Babai, L, 等
出版事項: (2008)

On the finite images of finitely generated perfect groups
著者:: Nikolov, N
出版事項: (2023)

On subgroups of finite index in positively finitely generated groups
著者:: Nikolov, N
出版事項: (2005)

Powers in finite groups
著者:: Segal, D, 等
出版事項: (2009)

Finite Simple Groups II /
著者:: 3681 University of Durham, 等
出版事項: (1980)

The finite simple groups and their classification /
著者:: 310920 Aschbacher, Micheal
出版事項: (1980)

Theory of finite simple groups /
著者:: 217973 Michler, Gerhard O.
出版事項: (2006)

Permutation groups, simple groups, and Sieve methods
著者:: Heath-Brown, D, 等
出版事項: (2005)

Permutation groups, simple groups and sieve methods
著者:: Heath-Brown, D, 等
出版事項: (2005)

A characterization of finite soluble groups
著者:: Nikolov, N, 等
出版事項: (2007)

Finite index subgroups in profinite groups
著者:: Nikolov, N, 等
出版事項: (2003)

Finite index subgroups in profinite groups
著者:: Nikolov, N, 等
出版事項: (2003)

Generators and commutators in finite groups; abstract quotients of compact groups
著者:: Nikolov, N, 等
出版事項: (2011)

JSJ-decompositions of finitely presented groups and complexes of groups
著者:: Fujiwara, K, 等
出版事項: (2005)

Generators and commutators in finite groups; abstract quotients of compact groups
著者:: Nikolov, N, 等
出版事項: (2012)

The density of representation degrees
著者:: Liebeck, M, 等
出版事項: (2012)

Homology torsion growth of finitely presented pro-p groups
著者:: Nikolov, N
出版事項: (2022)

Computing tensor decompositions of finite matrix groups
著者:: Nurullah Ankaralioglu, 等
出版事項: (2011-11-01)

Finitely presented infinite simple groups
著者:: Scott, EA
出版事項: (1981)

Centralizers in simple locally finite groups
著者:: Mahmut Kuzucuoğlu
出版事項: (2013-03-01)

Finite simple groups : an introduction to their classification /
著者:: 316263 Gorenstein, Daniel
出版事項: (1982)

Theory of finite simple groups [electronics resource] /
著者:: 217973 Michler, Gerhard O.
出版事項: (2006)

Covering Theorem for Finite Nonabelian Simple Groups
著者:: Baghdad Science Journal
出版事項: (2007-03-01)

Constructing finitely presented simple groups that contain Grigorchuk groups
著者:: Röver, C
出版事項: (1999)

On finitely generated profinite groups I: strong completeness and uniform bounds
著者:: Nikolov, N, 等
出版事項: (2006)

A lower bound on the number of finite simple groups
著者:: Michael E. Mays
出版事項: (1980-01-01)

A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
著者:: MICHAEL LARSEN, 等
出版事項: (2015-03-01)

GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS
著者:: ANDREA LUCCHINI, 等
出版事項: (2020-01-01)