On B(5, 19) non-2-groups

Abstract

A finite group G is said to be a B(n, k) group if |{aiaj|1 ≤ i, j ≤ n}| ≤ k for any n-element subset {a1,...,an} of G. The aim of this paper is to give a characterization of the B(5, 19) non-2-groups, which together with an earlier result of Wang, the first author and Moss completes the classification of B(5, 19) groups.