Some characterizations of finite groups in which semipermutability is a transitive relation

DOI10.1515/FORUM.2010.045zbMath1205.20025OpenAlexW2068596729MaRDI QIDQ4933478

Khaled A. Al-Sharo, James C. Beidleman, Matthew F. Ragland, Hermann Heineken

Publication date: 13 October 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.045

zbMATH Keywords

finite solvable groupsSylow basessubnormal subgroupssemipermutable subgroupspermutability conditionstransitive semipermutabilitysystem normalizers

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 (20)

On NearlyS-Permutable Subgroups of Finite Groups ⋮ ON A CLASS OF SUPERSOLUBLE GROUPS ⋮ Finite solvable groups in which semi-normality is a transitive relation. ⋮ On locally finite groups whose subgroups of infinite rank have some permutable property ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Some new characterizations of PST-groups. ⋮ Some special classes of finite soluble PST-groups. ⋮ T-groups, polycyclic groups, and finite quotients. ⋮ Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups. ⋮ On weakly s-semipermutable subgroups of finite groups. ⋮ Subnormal, permutable, and embedded subgroups in finite groups. ⋮ G-covering subgroup systems for the classes of finite soluble PST-groups ⋮ Nearly s-semipermutable subgroups and p-nilpotency ⋮ On two classes of finite supersoluble groups ⋮ \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups ⋮ Some Characterisations of Soluble SST-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. ⋮ Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math. 22 (2010), 855–862]

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Some classes of finite groups and mutually permutable products.
• Solvable PST-groups, strong Sylow bases and mutually permutable products.
• Sylow permutable subnormal subgroups of finite groups
• Mutually permutable subgroups and group classes.
• Group classes and mutually permutable products.
• Sylow permutable subnormal subgroups of finite groups II
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Totally permutable torsion subgroups
• A Note on Finite Groups in Which Normality is Transitive

This page was built for publication: Some characterizations of finite groups in which semipermutability is a transitive relation