Rank and order of a finite group admitting a Frobenius group of automorphisms.

DOI10.1007/S10469-013-9221-1zbMath1272.20020OpenAlexW4246616127MaRDI QIDQ354486

Eugenii I. Khukhro

Publication date: 19 July 2013

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

Full work available at URL: http://eprints.maths.manchester.ac.uk/1938/1/eart123.pdf

zbMATH Keywords

finite groupsfinite \(p\)-groupsFrobenius groups of automorphismsorders of fixed-point subgroupsrank estimates

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45)

Related Items (7)

Lie algebras with Frobenius dihedral groups of automorphisms ⋮ 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. ⋮ Action of a Frobenius-like group. ⋮ Finite 𝑝-groups with a Frobenius group of automorphisms whose kernel is a cyclic 𝑝-group ⋮ Rank and order of a finite group admitting a Frobenius-like group of automorphisms.

Cites Work

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• On finite soluble groups
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• Graded Lie rings with many commuting components and an application to 2-Frobenius groups
• On the number of generators of a finite group
• On the number of generators of a finite group

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