Derived subgroups of fixed points.

DOI10.1007/BF02784161zbMath1050.20013OpenAlexW2095556847MaRDI QIDQ5957376

P. V. Shumyatskij, Robert M. Guralnick

Publication date: 17 September 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02784161

zbMATH Keywords

actions\(p\)-groups, Abelian groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items

On groups satisfying a positive law in fixed points., On the commuting probability for subgroups of a finite group, Nilpotent residual of fixed points, Coprime actions with \(p\)-nilpotent centralizers, Compact groups with probabilistically central monothetic subgroups, Compact groups with high commuting probability of monothetic subgroups, Exponent of a finite group with a fixed-point-free four-group of automorphisms., Fixed points of coprime operator groups., Fixed Points in Finite Soluble Groups^#, On a paper of Beltrán and Shao about coprime action, Coprime actions with supersolvable fixed-point groups, Profinite groups and centralizers of coprime automorphisms whose elements are Engel, Finite groups and the fixed points of coprime automorphisms, Locally finite groups and their subgroups with small centralizers, Engel sinks of fixed points in finite groups, Centralizers of coprime automorphisms of finite groups., FITTING SUBGROUP AND NILPOTENT RESIDUAL OF FIXED POINTS, Positive laws in fixed points, DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS, Finite groups and their coprime automorphisms

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