Finite groups some of whose n-maximal subgroups are normal

DOI10.1007/BF01950705zbMath0685.20017MaRDI QIDQ1825956

Mohamed Asaad

Publication date: 1989

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

normalityvariancefinite groupsolvable groupnilpotentsupersolvableodd order groupn-maximal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

Related Items (9)

Finite groups with generalized ℙ-subnormal second maximal subgroups ⋮ Finite solvable groups with all \(n\)-maximal subgroups \(\mathfrak U\)-subnormal. ⋮ Finite Groups of Spencer Height ≤ 3 ⋮ On finite groups with given ICΦ-subgroups ⋮ Finite groups with subnormal second or third maximal subgroups. ⋮ Primary subgroups and the structure of finite groups ⋮ On the abnormal structure of finite groups. ⋮ On groups with formational subnormal strictly 2-maximal subgroups ⋮ Finite biprimary groups with all \(3\)-maximal subgroups \(\mathfrak{U}\)-subnormal

Cites Work

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• A condition for the solvability of a finite group
• Solvability of groups of odd order
• Minimal nicht überauflösbare, endliche Gruppen
• Finite groups with invariant fourth maximal subgroups
• Normalteiler und maximale Untergruppen endlicher Gruppen
• Endliche Gruppen I

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