On pairwise mutually permutable products

DOI10.1515/FORUM.2009.054zbMath1193.20020OpenAlexW2044928377MaRDI QIDQ3401177

Mari Carmen Pedraza-Aguilera, James C. Beidleman, Hermann Heineken, Adolfo Ballester-Bolinches

Publication date: 29 January 2010

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

Full work available at URL: https://doi.org/10.1515/forum.2009.054

zbMATH Keywords

products of subgroups\(p\)-supersoluble groupsmutually permutable productsPST-groupsfactorized groupssimple chief factors

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) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

Prefactorized subgroups in pairwise mutually permutable products. ⋮ A note on groups with a finite number of pairwise permutable seminormal subgroups ⋮ On the supersolubility of a finite group factorized into pairwise permutable seminormal subgroups

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Some classes of finite groups and mutually permutable products.
• Mutually permutable subgroups and group classes.
• Group classes and mutually permutable products.
• The structure of finite groups in which permutability is a transitive relation
• THE STRUCTURE OF MUTUALLY PERMUTABLE PRODUCTS OF FINITE NILPOTENT GROUPS
• On the supersolvability of finite groups
• On mutually permutable products of finite groups.

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