On the nilpotent length of maximal subgroups of finite soluble groups

zbMath0817.20017MaRDI QIDQ1332492

Klaus Doerk

Publication date: 22 September 1994

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1994__91__19_0

zbMATH Keywords

finite solvable groupsmaximal subgroupsprojectorsSchunck classesinjectorsnilpotent lengthFitting lengthnormal nilpotent subgroupmaximal supplementsnumber of conjugate classes

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) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

A Note on the δ-length of Maximal Subgroups in Finite Soluble Groups ⋮ The nilpotent \(\pi\)-length of maximal subgroups in finite \(\pi\)-soluble groups.

Cites Work

• Finite soluble groups

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