Fitting height of a finite group with a Frobenius group of automorphisms.

DOI10.1016/j.jalgebra.2012.05.011zbMath1270.20024OpenAlexW2010612776MaRDI QIDQ1939288

Eugenii I. Khukhro

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.05.011

zbMATH Keywords

fixed pointsFitting heightsfinite groupsFitting lengthsFrobenius groups of automorphismsFitting series

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) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items

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, Finite groups with average number of character zeros equal to one, Derived length of a Frobenius-like kernel., Nilpotent residual of a finite group, Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms., Frobenius action on Carter subgroups, On fixed-point-free automorphisms., Frobenius groups of automorphisms with almost fixed point free kernel, On \(p\)-groups of maximal class as groups of automorphisms., On the nilpotency class of finite groups with a Frobenius group of automorphisms, 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

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