On the Possible Orders of a Basis for a Finite Cyclic Group
On the Possible Orders of a Basis for a Finite Cyclic Group
We prove a result concerning the possible orders of a basis for the cyclic group ${\Bbb Z}_n$, namely: For each $k \in {\Bbb N}$ there exists a constant $c_k > 0$ such that, for all $n \in {\Bbb N}$, if $A \subseteq {\Bbb Z}_n$ is a basis of order greater …