Finite groups in which permutability is a transitive relation on their Frattini factor groups.

DOI10.1007/s10474-006-0522-xzbMath1123.20017OpenAlexW2019360730MaRDI QIDQ879231

N. E. Zubov

Publication date: 8 May 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0522-x

zbMATH Keywords

finite groupssubnormal subgroupspermutabilitysubnormalityPST-groupsfinite PT-groupsFrattini quotient groupminimal non-PST-groupsminimal non-PT-groups

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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

Finite groups with some \(NR\)-subgroups or \(\mathcal H\)-subgroups.

Cites Work

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• Finite groups in which normality or quasinormality is transitive.
• On \(T^*\)-groups
• Sylow permutable subnormal subgroups of finite groups
• Criteria for permutability to be transitive in finite groups
• Minimal nicht überauflösbare, endliche Gruppen
• Gruppen, in denen das Normalteilersein transitiv ist.
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• On a Class of p-Soluble Groups
• ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS
• A Note on Finite Groups in Which Normality is Transitive
• Finite Groups with Pro-Normal Subgroups
• Finite groups in which normality is a transitive relation

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