New characterizations of finite supersoluble groups.

DOI10.1007/s11425-007-0155-8zbMath1161.20013OpenAlexW2225766620MaRDI QIDQ943433

Alexander N. Skiba, Baojun Li

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11425-007-0155-8

zbMATH Keywords

maximal subgroupsSylow subgroupssupplementssemipermutable subgroupssupersolubility

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) Products of subgroups of abstract finite groups (20D40)

Related Items (24)

Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups. ⋮ Finite groups with generalized ℙ-subnormal second maximal subgroups ⋮ Finite solvable groups with all \(n\)-maximal subgroups \(\mathfrak U\)-subnormal. ⋮ On generalized S-quasinormal and generalized subnormal subgroups of finite groups ⋮ Finite groups whose \(n\)-maximal subgroups are modular ⋮ Finite Groups of Spencer Height ≤ 3 ⋮ Finite groups with 2-minimal or 2-maximal subgroups are Hall normally embedded subgroups ⋮ Unnamed Item ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. II. ⋮ Finite groups with subnormal second or third maximal subgroups. ⋮ On an open problem of σ-soluble groups ⋮ On generalized modular subgroups of finite groups ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ On Some Open Problems Related toX-Permutability of Subgroups ⋮ Finite groups with given systems of \(K\)-\(\mathfrak{U}\)-subnormal subgroups ⋮ On finite groups with SS-supplemented subgroups ⋮ A characterization of solubility of finite groups ⋮ Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal ⋮ On some properties of \(X \)-semipermutable subgroups ⋮ The influence of \(X\)-semipermutability of subgroups on the structure of finite groups. ⋮ The influence of s-conditionally permutable subgroups on finite groups. ⋮ Finite groups in which every 3-maximal subgroup commutes with all maximal subgroups. ⋮ On X-Permutable Subgroups ⋮ Some new characterizations of finite \(p\)-nilpotent groups

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