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On a graph related to permutability in finite groups

✍ Scribed by A. Ballester-Bolinches; John Cossey; R. Esteban-Romero

Publisher
Springer
Year
2009
Tongue
English
Weight
108 KB
Volume
189
Category
Article
ISSN
0373-3114

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Criteria for Permutability to Be Transit
Criteria for Permutability to Be Transitive in Finite Groups
✍ James C. Beidleman; Ben Brewster; Derek J.S. Robinson πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 113 KB

A group G is a PT -group if, for subgroups H and K with H permutable in K and K permutable in G, it is always the case that H is permutable in G. It is shown that a finite group is a soluble PT -group if and only if each subgroup of a Sylow subgroup is permutable in the Sylow normalizer.