On the three questions of Bertram on locally maximal sum-free sets

Abstract

We recently answered the three questions of Bertram in the nite abelian case in https://link.springer.com/article/10.1007/s00200-018-0364-0,
Applicable Algebra in Engineering, Communication and Computing 30(2) (2019), 127-134. In this paper, we answer the nonabelian analogues of the three questions of Bertram on locally maximal sum-free sets.

Key words: Sum-free sets, product-free sets, locally maximal, nite groups.