On groups admitting a group of automorphisms whose centralizer has bounded rank.

zbMath1118.20025MaRDI QIDQ2371256

Eugenii I. Khukhro, Victor D. Mazurov

Publication date: 2 July 2007

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53315

zbMATH Keywords

Fitting heightsgroups of automorphismsfinite metabelian groupsalmost regular automorphismspowerful \(p\)-groupsFitting factorsHall-Higman-type theoremssolvability of groupsranks of fixed-point subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

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