Frobenius action on Carter subgroups

DOI10.1142/S0218196720500319OpenAlexW3004587410MaRDI QIDQ5123716

Gülin Ercan, İsmail Ş. Güloğlu

Publication date: 29 September 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10951

zbMATH Keywords

automorphismFrobenius groupFitting heightCarter subgroup

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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Fitting height of a finite group with a Frobenius group of automorphisms.
• Action of a Frobenius-like group.
• Rank and order of a finite group admitting a Frobenius-like group of automorphisms.
• Action of a Frobenius-like group with kernel having central derived subgroup
• Frobenius-like groups as groups of automorphisms

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