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arxiv: 1505.07654 · v1 · pith:MQGIVLDKnew · submitted 2015-05-28 · 🧮 math.GR

A Study of Groups through Transversals

classification 🧮 math.GR
keywords finitegroupsobtainedconditioncore-freegroupknownnecessary
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In this note, a necessary and sufficient condition for the normalizer of a core-free subgroup $H$ of a finite group $G$ to be normal in $G$ is obtained. Also, a known result of finite groups is obtained through transversal.

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