Action of a Frobenius-like group.

DOI10.1016/j.jalgebra.2014.01.005zbMath1314.20018OpenAlexW2088368244MaRDI QIDQ2253051

İsmail Ş. Güloğlu, Gülin Ercan

Publication date: 25 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.01.005

zbMATH Keywords

fixed pointssemidirect productsautomorphismsregular representationextraspecial groupsactions of Frobenius groupsfinite Frobenius-like groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) 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

On the influence of fixed point free nilpotent automorphism groups ⋮ Derived length of a Frobenius-like kernel. ⋮ Nilpotent residual of a finite group ⋮ Frobenius action on Carter subgroups ⋮ Automorphisms of soluble groups ⋮ Rank and order of a finite group admitting a Frobenius-like group of automorphisms.

Cites Work

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• Rank and order of a finite group admitting a Frobenius group of automorphisms.
• Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel.
• Fixed points of Frobenius groups of automorphisms.
• Supersolvable automorphism groups of solvable groups.
• Endliche Gruppen I

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