Finite groups in which normality or quasinormality is transitive.

DOI10.1007/S00013-004-1065-4zbMath1079.20023OpenAlexW2032177310MaRDI QIDQ704955

Mohamed Asaad

Publication date: 20 January 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-004-1065-4

zbMATH Keywords

finite solvable groupsSylow subgroupssubnormal subgroupstransitive normalitygeneralized Fitting subgroupsolvable T-groupstransitive quasinormalitysolvable 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (14)

Finite solvable groups in which semi-normality is a transitive relation. ⋮ Finite groups in which permutability is a transitive relation on their Frattini factor groups. ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Some new characterizations of PST-groups. ⋮ Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups. ⋮ The Influence of Certain Abelian Subgroups on the Structure of Finite Groups ⋮ Some new characterizations of solvable PST-groups. ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ G-covering subgroup systems for the classes of finite soluble PST-groups ⋮ Generalizations of Groups in which Normality Is Transitive ⋮ \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups ⋮ On some arithmetic properties of nite groups ⋮ Minimality and locally defined classes of groups. ⋮ On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.

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