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

Abstract

We recently answered the three questions of Bertram in the finite 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.

Mathematics Subject Classification (2010):

• Primary: 20D60
• Secondary: 05E15
• 11B75

Key words:

• Sum-free sets
• product-free sets
• locally maximal
• finite groups