Order dividing bijective function from non-cyclic to cyclic groups of same finite order
Group Theory
2017-06-19 v1
Abstract
In this article we give an order-dividing bijective function between cyclic and non cyclic groups of finite order. In particular, we prove that there exists a bijective function from D_{2n} to Z_{2n} for any natural integer n; and from Z_p x Z_k to Z_{pk} when p is an odd prime and k is not a multiple of p.
Keywords
Cite
@article{arxiv.1706.05045,
title = {Order dividing bijective function from non-cyclic to cyclic groups of same finite order},
author = {Austin Allen and Ashley Chen and Jessica Ding and Piyush Shroff},
journal= {arXiv preprint arXiv:1706.05045},
year = {2017}
}