On B(n, k) 2-groups

Abstract

A finite group G is said to be a B n k group if for any n-element subset a 1 · · · a n of G, a i a j 1 ≤ i j ≤ n ≤ k. In this article, we give characterizations of the B 5 19 2-groups, and the B 6 k 2-groups for 21 ≤ k ≤ 28.