Finite solvable groups whose \(\mathfrak F\)-hypercenter contains all minimal subgroups

DOI10.1007/BF01229714zbMath0307.20012OpenAlexW2010338720MaRDI QIDQ1218033

Akio Yokoyama

Publication date: 1975

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229714

Mathematics Subject Classification ID

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

Related Items (17)

OnSS-Quasinormal Subgroups of Finite Groups ⋮ On the nilpotent residual norm of a group and the structure of \(S\)-groups ⋮ On the \(\mathcal F\)-hypercentre and the intersection of all \(\mathcal F\)-maximal subgroups of a finite group. ⋮ A note on minimal subgroups of finite groups ⋮ ON GENERALIZED HYPERCENTER OF A FINITE GROUP ⋮ On \(\pi\)-quasinormally embedded subgroups of finite group. ⋮ Finite solvable groups whose \(\mathfrak F\)-hypercenter contains all minimal subgroups. II ⋮ Kerne von Permutationsdarstellungen der Automorphismengruppe einer endlichen Gruppe ⋮ Dualization of saturation for locally defined formations ⋮ On minimal subgroups of finite groups ⋮ Unnamed Item ⋮ Some Results onp-Nilpotence and Supersolvability of Finite Groups ⋮ On minimal subgroups of finite groups ⋮ The influence of minimal p-subgroups on the structure of finite groups ⋮ Gradewise Properties of Subgroups and Their Applications ⋮ Some notes on the minimal subgroups of Fitting subgroups of finite groups ⋮ The influence of minimal subgroups on the structure of a finite group

Cites Work

• Unnamed Item
• Minimal nicht überauflösbare, endliche Gruppen
• The \(\mathfrak F\)-normalizers of a finite soluble group
• Zur Theorie der Formationen
• On complements of J-residuals in finite solvable groups
• Finite groups whose minimal subgroups are normal
• Zur Theorie der Formationen endlicher auflösbarer Gruppen
• Endliche Gruppen I
• On F-Abnormal Maximal Subgroups of a Finite Solvable Group

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