Nilpotency of finite groups with Frobenius groups of automorphisms.

DOI10.1007/s00605-010-0198-8zbMath1260.20036OpenAlexW2082382563MaRDI QIDQ636847

P. V. Shumyatskij, Eugenii I. Khukhro

Publication date: 30 August 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0198-8

zbMATH Keywords

centralizersnilpotencyFrobenius groups of automorphismsgraded Lie rings

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graded Lie (super)algebras (17B70) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (4)

Supersolvable Frobenius groups with nilpotent centralizers ⋮ On groups and Lie algebras admitting a Frobenius group of automorphisms. ⋮ Positive laws in fixed points of automorphisms of finite groups. ⋮ On the nilpotency class of finite groups with a Frobenius group of automorphisms

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