G-covering subgroup systems for the classes of finite soluble PST-groups

DOI10.1080/00927872.2021.1909057OpenAlexW3155680754MaRDI QIDQ5159796

Jin Guo, Inna N. Safonova, Alexander N. Skiba, Wen-Bin Guo

Publication date: 28 October 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1909057

zbMATH Keywords

finite groupPST-groupSylow permutable subgroupG-covering subgroup systemPT-group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (1)

A Robinson description of finite \(P\sigma T\)-groups

Cites Work

• Some new characterizations of PST-groups.
• Products of finite groups.
• 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.
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• Sylow permutable subnormal subgroups of finite groups
• Subgroup lattices of groups
• Criteria for permutability to be transitive in finite groups
• On sublattices of the subgroup lattice defined by formation Fitting sets
• Totally permutable products of finite groups satisfying SC or PST.
• The structure of finite groups in which permutability is a transitive relation
• Gruppen, in denen das Normalteilersein transitiv ist.
• The Wielandt Subgroup of a Finite Soluble Group
• 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
• Endliche Gruppen I
• Caratterizzazione dei \(t\)-gruppi finiti risolubili

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