Finite \(\pi\)-solvable groups whose maximal subgroups have the Hall property.

DOI10.1134/S000143460809006XzbMath1155.20017MaRDI QIDQ2518055

Victor S. Monakhov

Publication date: 12 January 2009

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

zbMATH Keywords

Hall subgroupsmaximal subgroupsSylow subgroupssupersolvable groupsmetacyclic groupsFrattini subgroupFitting subgroupdispersive 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) Maximal subgroups (20E28) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

Unnamed Item ⋮ On some results in the theory of finite partially soluble groups ⋮ Nonabelian composition factors of a finite group whose all maximal subgroups are Hall. ⋮ Nonsolvable finite groups whose all nonsolvable superlocals are Hall subgroups ⋮ Finite groups with \(H_{\mathcal{L}}\)-embedded subgroups ⋮ Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements. ⋮ Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup. ⋮ Finite groups with arithmetic restrictions on maximal subgroups. ⋮ Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups ⋮ On nonabelian composition factors of a finite prime spectrum minimal group. ⋮ On 2-maximal subgroups of finite groups

Cites Work

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