Groups of Lie type as products of SL2 subgroups

Groups of Lie type as products of SL2 subgroups

We prove that apart from the Suzuki groups, every finite simple group of Lie type of rank r over a field of q elements can be written as a product of C(r) subgroups isomorphic to SL2(q) or PSL2(q), where C(r) is a quadratic function. This has an application to the theory of expander graphs. © 2009 E...

書目詳細資料
Main Authors:	Liebeck, M, Nikolov, N, Shalev, A
格式:	Journal article
出版:	2011

相似書籍

Product decompositions in finite simple groups
由: Liebeck, M, et al.
出版: (2011)

Subgroup growth of lattices in semisimple Lie groups
由: Lubotzky, A, et al.
出版: (2004)

Character bounds for finite groups of Lie type
由: Bezrukavnikov, Roman, et al.
出版: (2021)

A conjecture on product decompositions in simple groups
由: Liebeck, M, et al.
出版: (2010)

Discrete subgroups of lie groups/
由: 189539 Raghunathan, M. S.
出版: (1972)

GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES
由: TIMOTHY C. BURNESS, et al.
出版: (2017-01-01)

The χ–Subgroups of Special linear group SL(n,q)
由: Afrah M. Ibraheem
出版: (2012-06-01)

Discrete subgroups of lie groups and appliecations to moduli
由: International Colloquium on Discrete Subgroups of Lie Groups and Applications to Moduli, Tata Institute of Fundamental Research, Bombay, January 8-15, 1973
出版: (1975)

Deformations of the three-dimensional Lie algebra sl(2)
由: A.A. Ibrayeva, et al.
出版: (2020-03-01)

On normal subgroups of compact groups
由: Nikolov, N, et al.
出版: (2013)

Lifting subgroups of PSL2 to SL2 over local fields
由: Andrew, N, et al.
出版: (2025)

Finite index subgroups in profinite groups
由: Nikolov, N, et al.
出版: (2003)

Finite index subgroups in profinite groups
由: Nikolov, N, et al.
出版: (2003)

Profinite groups with polynomial subgroup growth
由: Segal, D, et al.
出版: (1997)

GROUPS WITH FRACTIONALLY EXPONENTIAL SUBGROUP GROWTH
由: Segal, D, et al.
出版: (1993)

Representation of finiteness parabolic subgroups in special linear group (sl(n,C)) /
由: 501696 Sharifah Norasikin Syed Hod, et al.
出版: (2006)

Breaking classical Lie groups to finite subgroups – an automated approach
由: Maximilian Fallbacher
出版: (2015-09-01)

Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups
由: Robert Coquereaux, et al.
出版: (2013-05-01)

A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$
由: Jiangtao Shi
出版: (2014-12-01)

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

ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2)
由: Vladimir A. Stukopin
出版: (2011-09-01)

ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2)
由: Vladimir A. Stukopin
出版: (2018-07-01)

Cube-root-subgroups of SL2 over imaginary quadratic integers
由: Miroslav Kures
出版: (2021-09-01)

Congruence subgroup growth of arithmetic groups in positive characteristic
由: Abért, M, et al.
出版: (2003)

On the growth of $L^2$-invariants for sequences of lattices in Lie groups
由: Abert, M, et al.
出版: (2017)

On the growth of $L^2$-invariants for sequences of lattices in Lie groups
由: Abert, M, et al.
出版: (2012)

Gradients of sequences of subgroups in a direct product
由: Nikolov, N, et al.
出版: (2017)

The Fubini Theorem for Normal Lie Subgroups of Index 2n
由: Leandro Nery de Oliveira, et al.
出版: (2023-04-01)

Finite permutation groups
由: Liebeck, M, et al.
出版: (1979)

The Derived Subgroups of Sylow 2-Subgroups of the Alternating Group, Commutator Width of Wreath Product of Groups
由: Ruslan V. Skuratovskii
出版: (2020-03-01)

Result for the group SL(2,172)
由: Ghofran Awad Khalaf, et al.
出版: (2024-04-01)

Outcome for the group SL(2,57)
由: Niran Sabah Jasim s, et al.
出版: (2024-01-01)

Another Representation for the Maximal Lie Algebra of sl(n+2,ℝ) in Terms of Operators
由: Tooba Feroze, et al.
出版: (2009-01-01)

sl(2)ˆ Decomposition of denominator formulae of some BKM Lie superalgebras - II
由: Suresh Govindarajan, et al.
出版: (2023-04-01)

Local Limits of Connected Subgroups of SL${}_3(\protect \mathbb{R})$
由: Lazarovich, Nir, et al.
出版: (2021-05-01)

SL$ _n(\mathbb{Z}) $-normalizer of a principal congruence subgroup
由: Guangren Sun, et al.
出版: (2022-01-01)

On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry
由: Rohollah Bakhshandeh Chamazkoti
出版: (2020-12-01)

Simple groups of lie type/
由: 181584 Carter, Roger W.
出版: (1972)

Categorification of sl(2) and braid groups
由: Rouquier, R
出版: (2006)

Score for the Group SL(2,38)
由: Niran sabah Jasim, et al.
出版: (2023-07-01)