Crowns and centralizers of chief factors of finite groups

DOI10.1080/00927878508823183zbMath0556.20017OpenAlexW2014819886MaRDI QIDQ3220744

Julio P. Lafuente

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823183

zbMATH Keywords

maximal subgroupsFitting subgroupscrownsintersectionsgeneralized Fitting subgroupcharacteristic subgroupsnon-Frattini chief factorscentralizers of chief factors in finite groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Derived series, central series, and generalizations for groups (20F14)

Related Items (11)

Classes of generalized nilpotent and soluble groups ⋮ Nilpotent and soluble groups with respect to a homomorph ⋮ Crowns and factorization of the probabilistic zeta function of a finite group. ⋮ Chief factors, crowns, and the generalized Jordan-hölder theorem ⋮ Chief factors of finite groups with order a multiple of_p ⋮ Complementation and chief factors ik finite groups-II ⋮ Large characteristically simple sections of finite groups ⋮ On the second Loewy term of projectives of a group algebra ⋮ Minimal invariable generating sets ⋮ Fitting classes and injectors ⋮ Eine note uber nichtabelsche hauptfaktoren und maximale untergruppen einer endlichen gruppe

Cites Work

• Unnamed Item
• Pre-Frattini groups.
• Nonabelian crowns and Schunck classes of finite groups
• Zwei Klassen von Formationen endlicher auflösbarer Gruppen, deren Halbverband gesättigter Unterformationen genau ein maximales Element besitzt. (Two classes of formations of finite solvable groups the semilattice of saturated subformations of which has exactly one maximal element)
• On the structure of standard wreath products of groups
• Closure operations for Schunck classes
• Homomorphs and formations of given derived class
• Endliche Gruppen I

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