Add to ORKGWe 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
Let A be a subset of an abelian group G. We say that A is sum-free if there do not exist x,y and z i...
Every locally maximal product-free set S in a finite group G satisfies G = S[SS[S−1S[ SS−1 [pS, wher...
This paper is in two parts: first, we classify the 2-groups of coclass 1 that contain locally maxima...
We recently answered the three questions of Bertram in the finite abelian case. In this paper, we\ud...
Let G be a group, and S a non-empty subset of G. Then S is product-free if ab =2 S\ud for all a; b 2...
Let S be a non-empty subset of a group G. We say S is product-free if S \ SS = ?, and S\ud is locall...
AbstractA subset S of a group G is said to be a sum-free set if S ∩ (S + S) = ⊘. Such a set is maxim...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...
Please read abstract in the article.http://adm.luguniv.edu.ua/pm2021Mathematics and Applied Mathemat...
Let G be a finite group, and S a sum-free subset of G. The set S is locally maximal in G if S is no...
Let G be a group, and S a non-empty subset of G. Then S is product-free if ab is not in S for all a,...
Let G be a group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
A subset S of an additive group G is called a maximal sum-free set in G if (S+S) n S = Φ and |S| ≥ |...
Let G be a finite group and S a subset of G. Then S is product-free if S ∩ SS = ∅, and complete if G...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
Let A be a subset of an abelian group G. We say that A is sum-free if there do not exist x,y and z i...
Every locally maximal product-free set S in a finite group G satisfies G = S[SS[S−1S[ SS−1 [pS, wher...
This paper is in two parts: first, we classify the 2-groups of coclass 1 that contain locally maxima...
We recently answered the three questions of Bertram in the finite abelian case. In this paper, we\ud...
Let G be a group, and S a non-empty subset of G. Then S is product-free if ab =2 S\ud for all a; b 2...
Let S be a non-empty subset of a group G. We say S is product-free if S \ SS = ?, and S\ud is locall...
AbstractA subset S of a group G is said to be a sum-free set if S ∩ (S + S) = ⊘. Such a set is maxim...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...
Please read abstract in the article.http://adm.luguniv.edu.ua/pm2021Mathematics and Applied Mathemat...
Let G be a finite group, and S a sum-free subset of G. The set S is locally maximal in G if S is no...
Let G be a group, and S a non-empty subset of G. Then S is product-free if ab is not in S for all a,...
Let G be a group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
A subset S of an additive group G is called a maximal sum-free set in G if (S+S) n S = Φ and |S| ≥ |...
Let G be a finite group and S a subset of G. Then S is product-free if S ∩ SS = ∅, and complete if G...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
Let A be a subset of an abelian group G. We say that A is sum-free if there do not exist x,y and z i...
Every locally maximal product-free set S in a finite group G satisfies G = S[SS[S−1S[ SS−1 [pS, wher...
This paper is in two parts: first, we classify the 2-groups of coclass 1 that contain locally maxima...