Almost simple groups with long orbits in absolutely irreducible action.

DOI10.1016/j.jalgebra.2006.01.012zbMath1110.20013OpenAlexW2038286353MaRDI QIDQ2498863

Gunter Malle

Publication date: 16 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.01.012

zbMATH Keywords

numbers of conjugacy classesorbitsclass numbersgroups of Lie typealmost simple groupsquasi-simple groupsgeneralized Fitting subgroupabsolutely irreducible faithful modules

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items

Orbits of Low Codimension on Irreducible Representations of Simple Algebraic Groups, \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters, Bounding the number of classes of a finite group in terms of a prime, On Héthelyi-Külshammer's conjecture for principal blocks, A lower bound for the number of conjugacy classes of a finite group., Groups with few conjugacy classes, Arithmetic results on orbits of linear groups, Lower bounds for the number of conjugacy classes of finite groups

Uses Software

• GAP
• ATLAS Group Representations

Cites Work

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