ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES

DOI10.1017/S0017089512000079zbMath1256.20018MaRDI QIDQ2902672

Jiakuan Lu, Xiu Yun Guo

Publication date: 22 August 2012

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

zbMATH Keywords

finite groupssolvabilitySylow subgroupssubnormal subgroupsquasinormal subgroupssaturated formationssupersolvable groupssupersolvabilitysupplemented subgroups\(SS\)-supplementation

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 (6)

On solvability of finite groups with some ss-supplemented subgroups ⋮ Finite groups with some SS-supplemented subgroups ⋮ On finite groups with SS-supplemented subgroups ⋮ Actions on p-groups with the kernel containing the 𝔉-residuals ⋮ On Finite Groups with $\mathscr{H}C$-Subgroups ⋮ On SS-supplemented subgroups of some sylow subgroups of finite groups

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