The Influence of Nilpotent Subgroups on the Nilpotent Length and Derived Length of a Finite Group

DOI10.1112/PLMS/S3-49.2.343zbMath0542.20006OpenAlexW2085737319MaRDI QIDQ3329635

Graham Jones

Publication date: 1984

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/111609/1/WRAP_Theses_Jones%2C_1983.pdf

zbMATH Keywords

Carter subgroupsfinite solvable groupsrepresentationscomposition lengthsnilpotent lengthsFitting subgroupnilpotent injectorsnormal seriesfaithful modulesmaximal nilpotent subgroup

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (2)

On the structure of a group whose orbits on a finite module are the orbits of a proper subgroup ⋮ The existence of regular orbits

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