Finite groups with some CAP-subgroups.

DOI10.4171/RSMUP/131-6zbMath1317.20013MaRDI QIDQ5891425

Xianhua Li, Yang Ming Li, Luis M. Ezquerro

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupsnumbers of generatorschief factors\(p\)-supersolvable groupsCAP-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) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (3)

On $\Pi$-property of some maximal subgroups of Sylow subgroups of finite groups ⋮ The semi p -cover-avoidance properties of p -sylowizers in finite groups ⋮ On \(p\)-supersolvability of finite groups.

Cites Work

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• CAP-subgroups in a direct product of finite groups.
• On cover-avoiding subgroups of Sylow subgroups of finite groups.
• Local embeddings of some families of subgroups of finite groups.
• Cover-avoid subgroups in finite solvable groups
• A contribution to the theory of finite supersoluble groups
• Cover-avoidance properties and the structure of finite groups
• On Normally Embedded Subgroups of Prime Power Order in Finite Groups

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