On Supersolvable Groups and the Nilpotator

DOI10.1081/AGB-120027916zbMath1077.20031OpenAlexW2070470744MaRDI QIDQ3154477

Piroska Csörgő, Marcel Herzog

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120027916

zbMATH Keywords

Sylow subgroupssubnormal subgroupsfinite supersolvable groupsA-groupsproducts of cyclic subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (32)

Remarks on chains of weakly closed subgroups ⋮ Finite groups with ℋ-subgroups or strongly closed subgroups ⋮ A question on weakly ℋ-subgroups of a finite group ⋮ FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE ${\mathcal{H^*}}$-GROUPS ⋮ Some Characterizations about the Structure of Finite Groups ⋮ On the influence of transitively normal subgroups on the structure of some infinite groups. ⋮ On weakly ℋC-embedded subgroups and p-nilpotence of finite groups ⋮ On \(\mathscr {H}{C}\)-subgroups of finite groups ⋮ On weakly H-subgroups of finite groups II* ⋮ Finite groups all of whose second maximal subgroups are \(\mathcal H_p\)-groups. ⋮ On the strongly closed subgroups or \(\mathcal H\)-subgroups of finite groups. ⋮ On weakly ℋ-subgroups of finite groups III ⋮ The Influence of Certain Abelian Subgroups on the Structure of Finite Groups ⋮ A result on p-hypercyclically embedded subgroups ⋮ Finite groups with some minimal subgroups are ℋC-subgroups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ A note on \(\mathcal HC\)-subgroups of finite groups ⋮ The influence of ℋ-subgroups on the structure of finite groups ⋮ Finite Groups with Self-Conjugate-Permutable Subgroups ⋮ FINITE GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS OF EVEN ORDER ARE ℋ_p-GROUPS ⋮ Weakly normal subgroups of finite groups. ⋮ Finite groups with some \(\mathcal H\)-subgroups. ⋮ On Weakly ℋ-embedded Subgroups of Finite Groups ⋮ Finite groups with NE-subgroups ⋮ On Finite Groups with $\mathscr{H}C$-Subgroups ⋮ The influence of arrangement of subgroups on the group structure ⋮ Unnamed Item ⋮ Some Results onp-Nilpotence and Supersolvability of Finite Groups ⋮ Finite Groups with ℋ-Subgroups ⋮ On \(\mathcal HC\)-subgroups and its influence on the structure of finite groups. ⋮ On ℋC-Subgroups and the Structure of Finite Groups ⋮ On Weakly ℋ-Subgroups of Finite Groups

Cites Work

• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• Minimal nicht überauflösbare, endliche Gruppen
• Gruppen, in denen das Normalteilersein transitiv ist.
• On minimal subgroups of finite groups
• On finite solvable groups in which normality is a transitive relation
• Endliche Gruppen I
• Unnamed Item

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