Automorphisms of prime order almost regular in the sense of rank.

DOI10.1134/S1064562407050122zbMath1153.20306MaRDI QIDQ957763

Eugenii I. Khukhro

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotence classesfinite nilpotent groupscharacteristic subgroupsalmost regular automorphismsrank restrictionsautomorphisms of prime order

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Locally Finite Groups with Centralizers of Finite Rank

Cites Work

• Large characteristic subgroups satisfying multilinear commutator identities.
• Finite groups with an automorphism of prime order whose centralizer has small rank.
• Finite soluble groups containing an element of prime order whose centralizer is small
• Automorphisms and Fitting factors of finite groups
• Involutory automorphisms of finite groups and their centralizers
• Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER

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