Chief Factors and Fitting Series

DOI10.1080/00927870902955695zbMath1202.20020OpenAlexW1971053465MaRDI QIDQ3562338

Hermann Heineken

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902955695

zbMATH Keywords

finite solvable groupsgroups of automorphismschief factorstransitive permutation groupslinear groupsFitting lengths

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Subgroups of symmetric groups (20B35) Multiply transitive finite groups (20B20)

Cites Work

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• The automorphism group of an extraspecial \(p\)-group
• Representations induced in an invariant subgroup
• Endliche Gruppen I

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