The Structure of Finite Non-Nilpotent Groups in Which Every 2-Maximal Subgroup Permutes with all 3-Maximal Subgroups

DOI10.1080/00927870802334330zbMath1194.20021OpenAlexW2008459906MaRDI QIDQ3395209

Helena V. Legchekova, Alexander N. Skiba, Wen-Bin Guo

Publication date: 24 August 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802334330

zbMATH Keywords

finite groupsmaximal subgroupsnilpotent groupspermutable subgroups2-maximal subgroupssupersoluble groups3-maximal subgroupsnon-nilpotent groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) 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

Finite Groups of Spencer Height ≤ 3 ⋮ Finite groups with permuted strongly generalized maximal subgroups ⋮ Finite groups with subnormal second or third maximal subgroups. ⋮ Finite groups in which every 3-maximal subgroup commutes with all maximal subgroups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Finite simple groups with nilpotent third maximal subgroups
• Endliche Gruppen I