On finite groups with some semi cover-avoiding subgroups.

DOI10.1007/S10114-007-0946-4zbMath1138.20016OpenAlexW2071672684MaRDI QIDQ2463813

Yanyan Li

Publication date: 6 December 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0946-4

zbMATH Keywords

finite groupsmaximal subgroupssaturated formationschief factorschief series\(p\)-supersolubility\(p\)-nilpotencysemi-cover-avoiding propertysemi-cover-avoidancesemi-cover-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) Series and lattices of subgroups (20D30)

Related Items (8)

Semi cover-avoiding properties of finite groups. ⋮ A question on partial CAP-subgroups of finite groups. ⋮ On s-semipermutable subgroups of finite groups. ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ On generalizing transitivity, persistence, and sensitivity. ⋮ MAXIMAL SUBGROUPS OF A SYLOW p-SUBGROUP AND p-NILPOTENCY OF FINITE GROUPS ⋮ FINITE GROUPS WITH SOME SEMI-p-COVER-AVOIDING OR S-QUASINORMALLY EMBEDDED SUBGROUPS ⋮ Local embeddings of some families of subgroups of finite groups.

Cites Work

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• Finite groups in which Sylow normalizers admit supplements.
• Cover-avoid subgroups in finite solvable groups
• A contribution to the theory of finite supersoluble groups
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• Cover-avoidance properties and the structure of finite groups
• \(C\)-normality of groups and its properties
• On two theorems of finite solvable groups.
• Cover-Avoidance Properties in Finite Soluble Groups
• On Semi-Cover-Avoiding Maximal Subgroups and Solvability of Finite Groups

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