On Hall Normally Embedded Subgroups of Finite Groups

DOI10.1080/00927870802504981zbMath1187.20011OpenAlexW2151006591MaRDI QIDQ3644360

Jun He, Guoping Nong, Long-Qiao Zhou, Shi-Rong Li

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802504981

zbMATH Keywords

soluble groupsfinite groupsCLT-groupssupersoluble groupsmetanilpotent groupsLagrange theoremHall normally embedded 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) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (15)

CLT-groups with Hall S-quasinormally embedded subgroups. ⋮ On \(\sigma\)-supersoluble groups and one generalization of \textit{CLT}-groups ⋮ Unnamed Item ⋮ Finite groups with 2-minimal or 2-maximal subgroups are Hall normally embedded subgroups ⋮ CLT-groups with normal or abnormal subgroups. ⋮ Finite groups with Hall normally embedded minimal subgroups ⋮ Finite groups with Hall normally embedded subgroups ⋮ Finite groups with \(H_{\mathcal{L}}\)-embedded subgroups ⋮ On Hall subnormally embedded and generalized nilpotent groups. ⋮ Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups ⋮ Unnamed Item ⋮ Finite groups with Hall subnormally embedded Schmidt subgroups ⋮ Finite groups with hall subnormally embedded Schmidt subgroups ⋮ On some arithmetic properties of nite groups ⋮ A Note on CLT-Groups

Cites Work

• On some classes of supersoluble groups.
• Contributions to the theory of groups of finite order
• Remark on a recent paper of Ø. Ore
• On finiteJ-groups
• A Characterization of Finite Nilpotent Groups

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