A class of generalised finite \(T\)-groups.

DOI10.1016/J.JALGEBRA.2011.02.018zbMath1271.20014OpenAlexW2070615941MaRDI QIDQ651235

Adolfo Ballester-Bolinches, Mari Carmen Pedraza-Aguilera, Matthew F. Ragland, Arnold D. Feldman

Publication date: 8 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.018

zbMATH Keywords

soluble groupsnilpotent groupssubnormal subgroupssaturated formationspronormal subgroupstransitive normalityT-groupsformations of finite groupsembedding properties

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)

Related Items (4)

ON GENERALISED PRONORMAL SUBGROUPS OF FINITE GROUPS ⋮ On two classes of generalised finite T-groups ⋮ On generalised subnormal subgroups of finite groups ⋮ A generalization to Sylow permutability of pronormal subgroups of finite groups

Cites Work

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• \({\mathfrak F}\)-bases and subgroup embeddings in finite solvable groups
• Finite soluble groups
• Simple groups contain minimal simple groups
• The structure of finite groups in which permutability is a transitive relation
• Gruppen, in denen das Normalteilersein transitiv ist.
• Characterizations of schunck classes of finite groups
• A Note on Finite Groups in Which Normality is Transitive
• Finite Groups with Pro-Normal Subgroups
• Endliche Gruppen I

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