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In this article we give an order-dividing bijective function between cyclicand non cyclic groups of finite order. In particular, we prove that thereexists 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 ofp.

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