Finite groups all of whose 2-maximal subgroups are \(\pi\)-decomposable.

DOI10.1134/S008154381505003XzbMath1329.20017MaRDI QIDQ492271

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupssimple groups\(\pi\)-decomposable groupscontrol of prime spectra of groups

Mathematics Subject Classification ID

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

Related Items (8)

Finite groups with generalized subnormal and generalized permutable subgroups ⋮ Finite simple groups in which all maximal subgroups are \(\pi\)-closed. I. ⋮ A generalization of \(\sigma\)-permutability ⋮ Finite groups with \(\sigma \)-abnormal Schmidt subgroups ⋮ Finite groups all of whose 2-maximal subgroups are \(\pi\)-decomposable. ⋮ Finite groups with σ-Frobenius condition for non-normal σ-primary subgroups ⋮ On semi-σ-nilpotent finite groups ⋮ On the \(\mathfrak{F} \)-norm of a finite group

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