Order dividing bijective function from non-cyclic to cyclic groups of same finite order
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 D2n to Z2n for any natural integer n; and from Zp x Zk to Zpk when p is an odd prime and k is not a multiple of p.
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