Nilpotent Length of a Finite Solvable Group with a Frobenius Group of Automorphisms

DOI10.1080/00927872.2013.823776zbMath1302.20026OpenAlexW2094288271MaRDI QIDQ5495277

Elif Buyuk Ogut, Gülin Ercan, İsmail Ş. Güloğlu

Publication date: 31 July 2014

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

Full work available at URL: http://hdl.handle.net/11376/840

zbMATH Keywords

finite groupssolvable groupsFitting lengthsnilpotent lengthsFrobenius groups of automorphisms

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 (4)

Fitting Height of a Finite Group with a Metabelian Group of Automorphisms ⋮ Nilpotent residual of a finite group ⋮ Groups of automorphisms with TNI-centralizers ⋮ Rank and order of a finite group admitting a Frobenius-like group of automorphisms.

Cites Work

• Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel.
• Fitting height of groups and of fixed points
• Fitting height of a finite group with a Frobenius group of automorphisms.

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