Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel.

DOI10.1007/s10469-011-9117-xzbMath1223.20016OpenAlexW2094640994MaRDI QIDQ541988

Eugenii I. Khukhro

Publication date: 8 June 2011

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-011-9117-x

zbMATH Keywords

soluble groupsfinite groupsFrobenius groupsautomorphismscentralizersnilpotent lengthsFitting series

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items (13)

Fitting Height of a Finite Group with a Metabelian Group of Automorphisms ⋮ Rank and order of a finite group admitting a Frobenius group of automorphisms. ⋮ Lie algebras admitting a metacyclic Frobenius group of automorphisms ⋮ On the influence of fixed point free nilpotent automorphism groups ⋮ Lie algebras with Frobenius dihedral groups of automorphisms ⋮ Fitting height of a finite group with a Frobenius group of automorphisms. ⋮ Nilpotent residual of a finite group ⋮ Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms. ⋮ Groups of automorphisms with TNI-centralizers ⋮ Frobenius groups of automorphisms with almost fixed point free kernel ⋮ Action of a Frobenius-like group. ⋮ Nilpotent Length of a Finite Solvable Group with a Frobenius Group of Automorphisms ⋮ Rank and order of a finite group admitting a Frobenius-like group of automorphisms.

Cites Work

• Unnamed Item
• Fitting height of groups and of fixed points
• Fixed points of the complements of Frobenius groups of automorphisms.
• On the exponent of a finite group with an automorphism group of order twelve.
• Centralizers of finite nilpotent subgroups in locally finite groups
• Carter subgroups and Fitting heights of finite solvable groups
• Frobenius groups as groups of automorphisms
• Frobenius groups of automorphisms and their fixed points
• A NOTE ON FIXED-POINT-FREE ACTIONS OF FINITE GROUPS
• Graded Lie rings with many commuting components and an application to 2-Frobenius groups
• Automorphisms of solvable groups

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