Nonabelian composition factors of a finite group whose all maximal subgroups are Hall.

DOI10.1134/S0037446612050102zbMath1262.20014MaRDI QIDQ1937749

Natal'ya Vladimirovna Maslova

Publication date: 31 January 2013

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

zbMATH Keywords

Hall subgroupsfinite groupsmaximal subgroupsnonabelian composition factorsnonsoluble groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

On the finite prime spectrum minimal groups ⋮ On some results in the theory of finite partially soluble groups ⋮ Nonsolvable finite groups whose all nonsolvable superlocals are Hall 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. ⋮ Nonabelian composition factors of a finite group with arithmetic constraints on nonsolvable maximal subgroups. ⋮ 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.

Cites Work

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• Subgroups of finite Chevalley groups
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• Hall subgroups of the symmetric groups
• The Subgroups of PSL(3, q) for odd q
• On a class of doubly transitive groups

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