On ℋC-Subgroups and the Structure of Finite Groups

DOI10.1080/00927872.2011.565846zbMath1278.20025OpenAlexW1873208404MaRDI QIDQ3145434

Xianbiao Wei, Xiu Yun Guo

Publication date: 20 December 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.565846

zbMATH Keywords

finite groupsfinite soluble groupsSylow subgroupssubnormal subgroups\(p\)-nilpotencysubgroup embedding propertiessupersolubilityT-groups\(\mathcal H\)-subgroups\(c\)-normal subgroups\(\mathcal HC\)-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) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items

On weakly ℋC-embedded subgroups and p-nilpotence of finite groups ⋮ On \(\mathscr {H}{C}\)-subgroups of finite groups ⋮ Finite groups with weakly \(\mathcal{H}\mathcal{C}\)-embedded subgroups ⋮ A criterion for p-supersolvability 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 ⋮ On \(\mathcal {SSH}\)-subgroups of finite groups ⋮ On Finite Groups with $\mathscr{H}C$-Subgroups ⋮ On \(\mathcal HC\)-subgroups and its influence on the structure of finite groups.

Cites Work

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