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math.NT2009
On the possible orders of a basis for a finite cyclic group
Peter Hegarty
We prove a conjecture of Dukes and Herke concerning the possible orders of a basis for the cyclic group Z_n, namely : For each k \in N there exists a constant c_k > 0 such that, fo…
math.NT2008★ 1 cited
The structure of the exponent set for finite cyclic groups
P. J. Dukes, S. Herke
We survey properties of the set of possible exponents of subsets of (equivalently, exponents of primitive circulant digraphs on vertices). Let denote this exponent…