The influence of \(CAP^*\)-subgroups on the solvability of finite groups.

zbMath1252.20018MaRDI QIDQ656119

Jian-Jun Liu, Shi-Rong Li, Xiu Yun Guo

Publication date: 26 January 2012

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/vol35_1_21.html

zbMATH Keywords

finite groupssolvabilitysolvable groupsFrattini chief factorsCAP-subgroups, CAP*-subgroupscover-avoiding property

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) Series and lattices of subgroups (20D30)

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Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups., On normalizers of the nilpotent residuals of subgroups of a finite group, C-normal and hypercyclically embedded subgroups of finite groups, Finite groups with some generalized CAP-subgroups