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Some criteria for supersolubility in products of finite groups

โœ Scribed by Xi Liu; Baojun Li; Xiaolan Yi

Publisher
Higher Education Press and Springer
Year
2008
Tongue
English
Weight
114 KB
Volume
3
Category
Article
ISSN
1673-3452

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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.