Group classes and mutually permutable products.

DOI10.1016/J.JALGEBRA.2005.06.009zbMath1104.20024OpenAlexW1995197673MaRDI QIDQ2491820

James C. Beidleman, Hermann Heineken

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.06.009

zbMATH Keywords

finite groupspermutabilityproducts of groupsmutually permutable productsPST-groupsPT-groupsT-groupsSC-groupssolvable radicalstotally permutable products

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (13)

Square-free class sizes in products of groups ⋮ Prefactorized subgroups in pairwise mutually permutable products. ⋮ Unnamed Item ⋮ On hypercentral factor groups from certain classes ⋮ Mutually permutable products and conjugacy classes. ⋮ Some classes of finite groups and mutually permutable products. ⋮ Conditional permutability of subgroups and certain classes of groups ⋮ On a generalisation of totally permutable products of finite groups. ⋮ Some characterizations of finite groups in which semipermutability is a transitive relation ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroups permutable with all Sylow subgroups
• Permutable products of supersoluble groups.
• Totally permutable products of certain classes of finite groups.
• Mutually permutable subgroups and group classes.
• The structure of finite groups in which permutability is a transitive relation
• On the fitting core of a formation
• Totally permutable torsion subgroups
• Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups
• On the supersolvability of finite groups

This page was built for publication: Group classes and mutually permutable products.