Subnormal, permutable, and embedded subgroups in finite groups.

DOI10.2478/S11533-011-0029-8zbMath1245.20016OpenAlexW2084402135MaRDI QIDQ657383

Matthew F. Ragland, James C. Beidleman

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0029-8

zbMATH Keywords

finite solvable groupsSylow subgroupssubnormal subgroupspermutable subgroupssemipermutable subgroupsPST-groupsseminormal 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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (14)

On S-semipermutable subgroups and soluble PST-groups ⋮ On quasi \(S\)-propermutable subgroups of finite groups ⋮ Finite solvable groups in which semi-normality is a transitive relation. ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Some new characterizations of PST-groups. ⋮ Some special classes of finite soluble PST-groups. ⋮ Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups. ⋮ SEMIPERMUTABILITY IN GENERALISED SOLUBLE GROUPS ⋮ Some new characterizations of solvable PST-groups. ⋮ G-covering subgroup systems for the classes of finite soluble PST-groups ⋮ \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups ⋮ On some arithmetic properties of nite groups ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups ⋮ On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.

Cites Work

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• Sylow permutable subnormal subgroups of finite groups II
• ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• s-semipermutability and abnormality in finite groups^*
• Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups
• Some characterizations of finite groups in which semipermutability is a transitive relation
• A Note on Finite Groups in Which Normality is Transitive

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