Finite groups with subnormal second or third maximal subgroups.

DOI10.1134/S0001434612050094zbMath1285.20024OpenAlexW2083068522MaRDI QIDQ2435820

Yu. V. Lutsenko, Alexander N. Skiba

Publication date: 20 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434612050094

zbMATH Keywords

finite groupsnilpotent groupsSylow subgroupssubnormal subgroupssolvable groupssupersolvable groupsFrattini subgroupShmidt groupssecond maximal subgroupsbiprimary groupsthird maximal 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) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (10)

Finite groups with formational subnormal strictly 2-maximal subgroups ⋮ Finite groups with generalized ℙ-subnormal second maximal subgroups ⋮ Finite solvable groups with all \(n\)-maximal subgroups \(\mathfrak U\)-subnormal. ⋮ Finite groups with strongly c-reachable second maximal subgroups ⋮ On groups with formational subnormal strictly 2-maximal subgroups ⋮ Finite biprimary groups with all \(3\)-maximal subgroups \(\mathfrak{U}\)-subnormal ⋮ Finite groups with given systems of \(K\)-\(\mathfrak{U}\)-subnormal subgroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On permutable strongly 2-maximal and strongly 3-maximal subgroups

Cites Work

• Unnamed Item
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• New characterizations of finite supersoluble groups.
• Finite groups in which every 3-maximal subgroup commutes with all maximal subgroups.
• Overgroups of second maximal subgroups
• Cover-avoidance properties and the structure of finite groups
• Finite groups some of whose n-maximal subgroups are normal
• Finite groups with given \(s\)-embedded and \(n\)-embedded subgroups.
• \(X\)-semipermutable subgroups of finite groups.
• Ein Satz über die endlichen einfachen Gruppen
• Normalteiler und maximale Untergruppen endlicher Gruppen
• Structure of finite groups with S-quasinormal third maximal subgroups
• The Structure of Finite Non-Nilpotent Groups in Which Every 2-Maximal Subgroup Permutes with all 3-Maximal Subgroups
• Generalized Center and Hypercenter of a Finite Group
• Finite Groups Whose n-Maximal Subgroups are Subnormal

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