On cover-avoiding subgroups of Sylow subgroups of finite groups.

DOI10.4171/RSMUP/123-13zbMath1197.20014MaRDI QIDQ991593

Yang Ming Li

Publication date: 7 September 2010

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

Full work available at URL: https://eudml.org/doc/240353

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssaturated formationschief factorsgeneralized Fitting subgroupCAP-subgroupscover-avoiding 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)

Related Items (8)

A question on partial CAP-subgroups of finite groups. ⋮ A criterion of \(p\)-hypercyclically embedded subgroups of finite groups. ⋮ The \(IC\)-property of primary subgroups ⋮ Finite groups with some CAP-subgroups. ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ A note on CAP-subgroups in finite groups ⋮ The semi p -cover-avoidance properties of p -sylowizers in finite groups ⋮ p-Hypercyclically embedding and Π-property of subgroups of finite groups

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