Some open questions in the theory of generalized permutable subgroups.

DOI10.1007/S11425-009-0045-3zbMath1193.20021OpenAlexW2055305087MaRDI QIDQ1047840

Wen-Bin Guo, Baojun Li, Feng-Yan Xie

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0045-3

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssubnormal subgroupssaturated formationsminimal subgroupsweakly s-permutable subgroupsgeneralized permutable subgroupsweakly s-supplemented 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) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

FINITE GROUPS WITH WEAKLY S-QUASINORMALLY EMBEDDED SUBGROUPS ⋮ On weakly \(S\Phi\)-supplemented subgroups of finite groups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ OnSQ-Supplemented Subgroups of Finite Groups ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ On Some Open Problems Related toX-Permutability of Subgroups ⋮ The Influence of Weaklys-Supplemented Subgroups on the Structure of Finite Groups ⋮ \(c^*\)-quasinormally embedded subgroups of finite groups. ⋮ Localc*-Supplementation of Some Subgroups in Finite Groups ⋮ ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups.

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