Finite groups with some \(\mathcal M\)-permutable primary subgroups.

zbMath1280.20023MaRDI QIDQ384148

Hongwei Bao, Long Miao

Publication date: 26 November 2013

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol36_4_15.html

zbMATH Keywords

finite groupsmaximal subgroupsfinite \(p\)-groupsSylow subgroups\(p\)-nilpotent groups\(p\)-supersolvable groups\(\mathcal M\)-permutable subgroups

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups. ⋮ The structure of finite groups with an \(\mathcal{M}\)-permutable Sylow subgroup ⋮ Characterization of finite groups by the number of non-cyclic non-TI-subgroups ⋮ Characterizations of finite groups with \(\mathbf{P}\)-fusion of squarefree type

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