On mutually permutable products of finite groups.

DOI10.1016/j.jalgebra.2005.03.003zbMath1083.20020OpenAlexW1985103476MaRDI QIDQ5921807

John Cossey, Adolfo Ballester-Bolinches, Mari Carmen Pedraza-Aguilera

Publication date: 10 January 2006

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

Full work available at URL: http://hdl.handle.net/10251/146182

zbMATH Keywords

finite groupsmutually permutable productsfactorized groupssupersoluble groupsSC-groupssoluble residuals

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Products of subgroups of abstract finite groups (20D40)

Related Items (9)

Finite widely \(c\)-supersoluble groups and their mutually permutable products ⋮ Unnamed Item ⋮ On hypercentral factor groups from certain classes ⋮ Some classes of finite groups and mutually permutable products. ⋮ Conditional permutability of subgroups and certain classes of groups ⋮ Groups in which the hypercentral factor group is a T-group. ⋮ Radicals in mutually permutable products of finite groups. ⋮ Solvable PST-groups, strong Sylow bases and mutually permutable products. ⋮ On pairwise mutually permutable products

Cites Work

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• Mutually permutable products of finite groups
• Permutable products of supersoluble groups.
• Totally permutable products of certain classes of finite groups.
• Totally permutable products of finite groups satisfying SC or PST.
• The embedding of quasinormal subgroups in finite groups
• The structure of finite groups in which permutability is a transitive relation
• On finite products of totally permutable groups
• Totally permutable torsion subgroups
• On the supersolvability of finite groups

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