On Two Theorems of Thompson

DOI10.2307/2045729zbMath0607.20011OpenAlexW3144954113MaRDI QIDQ3746010

Guangxiang Zhang

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045729

zbMATH Keywords

normal \(p\)-complementsnilpotent maximal subgroupsolvability of finite 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) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

Related Items (8)

On \(p\)-nilpotence of finite groups. ⋮ On finite \(p\)-nilpotent groups ⋮ Finite groups with some minimal subgroups are ℋC-subgroups ⋮ Nilpotent fusion systems ⋮ Normal \(\pi\)-complements for finite groups. ⋮ A note on \(p\)-nilpotence and solvability of finite groups. ⋮ Some results on \(p\)-nilpotence and solubility of finite groups ⋮ Sylow permutable subnormal subgroups of finite groups

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