Actions with nilpotent fixed point subgroup

DOI10.1007/s000130050107zbMath0917.20005OpenAlexW128043982MaRDI QIDQ1383664

Antonio Beltrán Felip

Publication date: 3 August 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050107

zbMATH Keywords

irreducible charactersSylow subgroups\(p\)-special charactersmaximal invariant subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Automorphisms of abstract finite groups (20D45)

Related Items (14)

Coprime action and arithmetical conditions on invariant conjugacy classes. ⋮ Arithmetical conditions on invariant Sylow numbers ⋮ Correspondences of Brauer characters and Sylow subgroup normalizers ⋮ Primes and degrees of Brauer characters ⋮ Second maximal invariant subgroups and solubility of finite groups ⋮ Groups of operators that fix a Sylow subgroup ⋮ Simplicity of normal subgroups and conjugacy class sizes. ⋮ Restrictions on maximal invariant subgroups implying solvability of finite groups ⋮ Class sizes of prime-power order \(p'\)-elements and normal subgroups. ⋮ On a paper of Beltrán and Shao about coprime action ⋮ A GENERALIZED FIXED-POINT-FREE ACTION ⋮ Invariant class sizes and solvability of finite groups under coprime action ⋮ Fitting height of \(A\)-nilpotent groups. ⋮ On a graph associated to invariant conjugacy classes of finite groups.

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