A question on partial CAP-subgroups of finite groups.

DOI10.1007/S11425-011-4356-9zbMath1264.20018OpenAlexW2047822132MaRDI QIDQ1934470

Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Yang Ming Li

Publication date: 28 January 2013

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

Full work available at URL: http://hdl.handle.net/10251/19049

zbMATH Keywords

finite groupssaturated formationschief factorsminimal subgroupssupersoluble groupsCAP subgroupspartial cover and avoidance 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) Series and lattices of subgroups (20D30)

Related Items (8)

On some CAP-subgroups of finite groups ⋮ On partial CAP∗-subgroups of finite groups ⋮ The \(IC\)-property of primary subgroups ⋮ On constructing CAP-subgroups in direct products ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ The semi p -cover-avoidance properties of p -sylowizers in finite groups ⋮ On partial cap-subgroups of finite groups ⋮ On partial CAP-subgroups of finite groups.

Cites Work

• Unnamed Item
• On second maximal subgroups of Sylow subgroups of finite groups.
• On cover-avoiding subgroups of Sylow subgroups of finite groups.
• Local embeddings of some families of subgroups of finite groups.
• Finite soluble groups
• A contribution to the theory of finite supersoluble groups
• A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry
• On finite groups with some semi cover-avoiding subgroups.
• On Semi Cover-Avoiding Maximal Subgroups of Sylow Subgroups of Finite Groups
• Classes of Finite Groups

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