Finite groups whose maximal subgroups have the hall property

DOI10.3103/S105513441303005XzbMath1340.20018MaRDI QIDQ2945797

Natal'ya Vladimirovna Maslova, Danila Olegovitch Revin

Publication date: 14 September 2015

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hall subgroupsfinite groupsmaximal subgroupscomplemented subgroupsFrattini subgroupnormal seriesnonsolvable groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (13)

Unnamed Item ⋮ Finite groups with solvable or \(\Phi \)-simple maximal subgroups ⋮ On the finite prime spectrum minimal groups ⋮ On some results in the theory of finite partially soluble groups ⋮ 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. ⋮ Finite groups with prescribed \(\Phi \)-simple maximal subgroups ⋮ A criterion for the existence of a solvable π-Hall subgroup in a finite group ⋮ On 2-maximal subgroups of finite groups

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