Large characteristic subgroups satisfying multilinear commutator identities.

DOI10.1134/S1064562407010310zbMath1327.20029MaRDI QIDQ492465

Natalia Yu. Makarenko, Eugenii I. Khukhro

Publication date: 20 August 2015

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

zbMATH Keywords

regular automorphismssubgroups of finite indexcharacteristic subgroupsmultilinear commutator identities

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms of abstract finite groups (20D45) Commutator calculus (20F12)

Related Items (1)

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

Cites Work

• Unnamed Item
• Finite groups with an automorphism of prime order whose centralizer has small rank.
• Limits of Abelian subgroups of finite \(p\)-groups
• Finite \(2\)-groups admitting an automorphism of order \(4\) with few fixed points
• Large subgroups of small class in finite \(p\)-groups.
• Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order
• Abelian subgroups of small index in finite p-groups

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