On finite groups admitting a coprime automorphism of prime order

DOI10.1006/jabr.1995.1114zbMath0835.20035OpenAlexW2067912637MaRDI QIDQ1895544

Hiroshi Matsuyama

Publication date: 14 April 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1114

zbMATH Keywords

finite groupssolvable groupscoprime automorphismsinvariant Sylow subgroupsminimal counter-examples

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

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Groups of operators that fix a Sylow subgroup ⋮ Fitting height of \(A\)-nilpotent groups. ⋮ Finite groups admitting an automorphism of prime order fixing an Abelian 2-group

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