Order dividing bijective function from non-cyclic to cyclic groups of same finite order

2017/06/15 by Allen, Austin, Chen, Ashley, Ding, Jessica +1
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1706.05045

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.

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