Influence of \(\mathcal M_p\)-supplemented subgroups on the structure of \(p\)-modular subgroups

DOI10.1134/S0037446617040061zbMath1387.20013OpenAlexW2752336902MaRDI QIDQ1675172

J. Tang, Baijun Gao, Long Miao

Publication date: 27 October 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617040061

zbMATH Keywords

Sylow subgroup\(p\)-supersolvabilitychief factor\(\mathcal M_p\)-supplemented subgroup

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) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

On the structure of chief factors of finite groups with \({\mathcal{M}}_p \)-supplemented subgroups ⋮ The influence of ℳ-supplemented subgroups on the structure of chief factors of finite groups ⋮ Properties and \(\mathcal{M}_p\)-supplemented subgroups of finite groups

Cites Work

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• A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups.
• \(\mathcal M_p\)-supplemented subgroups of finite groups.
• Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.
• Nilpotent quotient groups
• On ℳ_p-Supplemented Subgroups of Finite Groups

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