Permutability of injectors with a central socle in a finite solvable group

DOI10.1016/J.JALGEBRA.2016.11.041zbMath1370.20014OpenAlexW2567935777MaRDI QIDQ511845

Arnold D. Feldman, María Dolores Pérez-Ramos, Rex S. Dark

Publication date: 22 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.11.041

zbMATH Keywords

finite solvable groupscentral socleinjectorsextra-special \(p\)-groupsFitting classrepresentation theory of finite groups.Sylow basis

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

Nilpotent length and system permutability

Cites Work

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• Injectors with a central socle in a finite solvable group.
• Injectors with a normal complement in a finite solvable group.
• Finite soluble groups
• The automorphism group of an extraspecial \(p\)-group
• Persistent characterizations of injectors in finite solvable groups
• Extraspecially Irreducible Groups
• Endliche Gruppen I

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