On \(T\)-groups, supersolvable groups, and maximal subgroups.

DOI10.1007/S00013-010-0207-0zbMath1230.20020OpenAlexW2039429408MaRDI QIDQ623439

Gil Kaplan

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0207-0

zbMATH Keywords

subnormal subgroupslattices of subgroupssupersolvable groupstransitive normalityfinite T-groupsIM-groupslattices generated by maximal subgroupsnon-normal maximal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35)

Related Items (9)

Finite groups all of whose small subgroups are pronormal ⋮ Maximal subgroups and PST-groups. ⋮ On the Wielandt subgroup of generalized FC-groups ⋮ Groups with almost Frattini closed subgroups ⋮ Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties ⋮ A characterization of soluble groups in which normality is a transitive relation ⋮ ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ A generalization to Sylow permutability of pronormal subgroups of finite groups ⋮ On non-normal cyclic subgroups of prime order or order 4 of finite groups

Uses Software

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Cites Work

• Über den Normalisator der subnormalen Untergruppen
• Finite soluble groups
• The intersection map of subgroups
• Finite groups with many maximal sensitive subgroups
• On finite T-groups and the Wielandt subgroup
• Gruppen, in denen das Normalteilersein transitiv ist.
• On finiteJ-groups
• On finite solvable groups in which normality is a transitive relation
• A Note on Finite Groups in Which Normality is Transitive
• Finite Groups with Pro-Normal Subgroups
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