Minimal inner-\(\Sigma\)-\(\Omega\)-groups and their applications.

DOI10.1007/S11425-011-4252-3zbMath1256.20011OpenAlexW2260363661MaRDI QIDQ763669

Yong Xu, Xianhua Li

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1007/s11425-011-4252-3

zbMATH Keywords

cyclic subgroupsnilpotencynilpotent subgroupssupersolubilityminimal inner-\(\Sigma\)-\(\Omega\)-groupspairs of conjugate subgroupssupersolvable 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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

On \(CSQ\)-normal subgroups of finite groups ⋮ A note on the structure of a finite group \(G\) having a subgroup \(H\) maximal in \(\langle H,H^g\rangle\) ⋮ The indices of subgroups of finite groups in the join of their conjugate pairs.

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