Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups.

DOI10.1134/S003744661502010XzbMath1336.20023OpenAlexW2464209961MaRDI QIDQ901906

Xiaolan Yi

Publication date: 6 January 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661502010x

zbMATH Keywords

Hall subgroupsfinite groupsPST-groupsPT-groupscompletely propermutable subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Finite solvable groups in which semi-normality is a transitive relation.
• Some new characterizations of PST-groups.
• Some new characterizations of solvable PST-groups.
• Products of finite groups.
• Finite groups in which \(\tau\)-quasinormality is a transitive relation.
• Subnormal, permutable, and embedded subgroups in finite groups.
• Finite groups in which normality or quasinormality is transitive.
• Finite soluble groups
• Groups in which Sylow subgroups and subnormal subgroups permute.
• Sylow permutable subnormal subgroups of finite groups
• \(X\)-semipermutable subgroups of finite groups.
• Totally permutable products of finite groups satisfying SC or PST.
• The structure of finite groups in which permutability is a transitive relation
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• A Local Approach to Certain Classes of Finite Groups
• Some characterizations of finite groups in which semipermutability is a transitive relation
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