Finite groups in which every 3-maximal subgroup commutes with all maximal subgroups.

DOI10.1134/S0001434609090041zbMath1185.20022OpenAlexW2019447484MaRDI QIDQ1048575

J. Blot

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1134/s0001434609090041

zbMATH Keywords

finite groupsmaximal subgroupssimple groupsnilpotent subgroupscommutator subgroup3-maximal subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Finite solvable groups with all \(n\)-maximal subgroups \(\mathfrak U\)-subnormal. ⋮ Finite Groups of Spencer Height ≤ 3 ⋮ Finite groups with subnormal second or third maximal subgroups. ⋮ On SS-quasinormal and S-quasinormally embedded subgroups of finite groups.

Cites Work

• Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen
• New characterizations of finite supersoluble groups.
• Cover-avoidance properties and the structure of finite groups
• \(X\)-semipermutable subgroups of finite groups.
• Finite groups with invariant fourth maximal subgroups
• Normalteiler und maximale Untergruppen endlicher Gruppen
• The Nonexistence of a Certain Type of Simple Groups of Odd Order
• 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 simple groups with nilpotent third maximal subgroups
• Endliche Gruppen I
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