ON THE CRITICAL NUMBER OF FINITE GROUPS OF ORDER pq
Qingxuan Wang, Jujuan Zhuang · International Journal of Number Theory · 2012
Let G be a finite group and S be a subset of G\{0}. We call S an additive basis of G if every element of G can be expressed as a sum over a non-empty subset in some order. Let cr (G) be the smallest integer t such that every subset of G\{0} of cardinality t forms an additive basis of G. In this paper, we determine cr (G) for all groups G of order pq, where p, q are primes.