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arXiv · 1104.3831

Existence of a Unique group of finite order

Sumit Kumar Upadhyay·Shiv Datt Kumar
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Abstract

Let $n$ be a positive integer. Then cyclic group $Z_n$ of order $n$ is the only group of order $n$ iff g.c.d. $(n,\phi(n))=1$, where $\phi$ denotes the Euler-phi function. In this article we have given another proof of this result using the knowledge of semi direct product and induction.

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Sumit Kumar Upadhyay, Shiv Datt Kumar. 2011-04-17. Existence of a Unique group of finite order. https://arxiv.org/abs/1104.3831

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