A generalized CAP-subgroup of a finite group.

DOI10.1007/s11425-015-5005-5zbMath1337.20016OpenAlexW1996859635MaRDI QIDQ892782

Nanying Yang, Alexander N. Skiba, Wen-Bin Guo

Publication date: 12 November 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5005-5

zbMATH Keywords

finite groupssaturated formations\(p\)-nilpotent groupssubgroup embedding propertiessupersoluble groupshypercyclically embedded subgroupsCAP subgroupscover-avoidance property\(\mathfrak U\)-embedded 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) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

On an open problem of Guo-Skiba ⋮ A \(U_m\)-subnormal subgroup of a finite group ⋮ On a question concerning the intersection of \(\Phi\)-isolators of finite soluble groups ⋮ On finite groups with some primary subgroups satisfying partialS-Π-property ⋮ On generalized m-S-permutable subgroups of a finite group

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