Minimum polynomials of the elements of prime order in representations of quasi-simple groups.

DOI10.1016/j.jalgebra.2008.02.037zbMath1163.20004OpenAlexW2031461658MaRDI QIDQ952554

Alexander E. Zalesskij

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.02.037

zbMATH Keywords

finite linear groupsquasi-simple groupsrepresentations of finite groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items

On permutation characters and Sylow \(p\)-subgroups of \(\mathfrak{S}_n\) ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ Almost cyclic elements in Weil representations of finite classical groups ⋮ Almost cyclic elements in cross-characteristic representations of finite groups of Lie type ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.

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