Existence of a Unique group of finite order

Details Existence of a Unique group of finite order Existence of a Unique group of finite order

2011-04-17

arxiv.org/abs/1104.3831v1

Mathematics

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Scientific paper

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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