Groups with maximal subgroups of Sylow subgroups normal

DOI10.1007/BF02761728zbMath0511.20014MaRDI QIDQ1839032

Gary Lee Walls

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsmaximal subgroups of Sylow subgroupsnilpotent Hall subgroupMNP-groups

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) Series and lattices of subgroups (20D30)

Related Items (max. 100)

A Classification of Minimal Non-MNP-Groups ⋮ Finite p–nilpotent groups with some subgroups c–supplemented ⋮ The influence of SS-quasinormality of some subgroups on the structure of finite groups. ⋮ Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups ⋮ Finite groups with normally embedded subgroups ⋮ \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups. II. ⋮ Groups with maximal subgroups of Sylow subgroups \(\sigma\)-permutably embedded ⋮ Finite groups ⋮ On minimal non-\(MSP\)-groups. ⋮ A complete classification of minimal non-\(PS\)-groups. ⋮ On the Solvability of Finite Groups ⋮ FINITE GROUPS WITH SOME ℨ-PERMUTABLE SUBGROUPS ⋮ \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.

Cites Work

• Two sufficient conditions for supersolvability of finite groups
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