Derived length of a Frobenius-like kernel.

DOI10.1016/j.jalgebra.2014.04.025zbMath1304.20038OpenAlexW2093171483MaRDI QIDQ403605

İsmail Ş. Güloğlu, Gülin Ercan, Eugenii I. Khukhro

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.04.025

zbMATH Keywords

fixed pointsfinite groupsgroups of automorphismssolvable groupsderived lengths\(p\)-lengthsFrobenius-like groupsranks of Hall subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45)

Related Items (3)

On the influence of fixed point free nilpotent automorphism groups ⋮ Nilpotent residual of a finite group ⋮ Frobenius action on Carter subgroups

Cites Work

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• Rank and order of a finite group admitting a Frobenius group of automorphisms.
• Lineare auflösbare Gruppen
• Hyperabelian skew-linear groups
• Fitting height of a finite group with a Frobenius group of automorphisms.
• Action of a Frobenius-like group.
• The soluble length of soluble linear groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Some Theorems of Hall-Higman Type for Small Primes
• Endliche Gruppen I

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