Finite 𝑝-groups with a Frobenius group of automorphisms whose kernel is a cyclic 𝑝-group

DOI10.1090/S0002-9939-2015-12287-3zbMath1316.20023arXiv1302.3499OpenAlexW1986224373MaRDI QIDQ5179368

Eugenii I. Khukhro, Natalia Yu. Makarenko

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3499

zbMATH Keywords

finite \(p\)-groupsLie ringscharacteristic subgroupsFrobenius groups of automorphismsnilpotency classesfixed-point subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items

Lie algebras with Frobenius dihedral groups of automorphisms

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