Add to ORKGWe recently answered the three questions of Bertram in the finite abelian case. In this paper, we answer the nonabelian analogues of the questions of Bertram on locally maximal sum-free sets
Cameron and Erdős [6] asked whether the number of maximal sum-free sets in { 1 , . . . , n } is much...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...
We recently answered the three questions of Bertram in the finite abelian case. In this paper, we\ud...
Let G be a finite group, and S a sum-free subset of G. The set S is locally maximal in G if\ud S is ...
Every locally maximal product-free set S in a finite group G satisfies G = S[SS[S−1S[ SS−1 [pS, wher...
We recently answered the three questions of Bertram in the nite abelian case in https://link.springe...
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-free. We...
AbstractA subset S of a group G is said to be a sum-free set if S ∩ (S + S) = ⊘. Such a set is maxim...
Let G be a finite group and S a subset of G. Then S is product-free if $S \cap SS = \emptyset$, and ...
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. Then S is product-free if ab =2 S for all a; b 2 S...
Let S be a non-empty subset of a group G. We say S is product-free if S \ SS = ?, and S is locally ...
Let G be a finite group and S a subset of G. Then S is product-free if S \ SS = ;, and S fills G if...
AbstractWe show that the number of maximal sum-free subsets of {1,2,…,n} is at most 23n/8+o(n). We a...
Cameron and Erdős [6] asked whether the number of maximal sum-free sets in { 1 , . . . , n } is much...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...
We recently answered the three questions of Bertram in the finite abelian case. In this paper, we\ud...
Let G be a finite group, and S a sum-free subset of G. The set S is locally maximal in G if\ud S is ...
Every locally maximal product-free set S in a finite group G satisfies G = S[SS[S−1S[ SS−1 [pS, wher...
We recently answered the three questions of Bertram in the nite abelian case in https://link.springe...
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-free. We...
AbstractA subset S of a group G is said to be a sum-free set if S ∩ (S + S) = ⊘. Such a set is maxim...
Let G be a finite group and S a subset of G. Then S is product-free if $S \cap SS = \emptyset$, and ...
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. Then S is product-free if ab =2 S for all a; b 2 S...
Let S be a non-empty subset of a group G. We say S is product-free if S \ SS = ?, and S is locally ...
Let G be a finite group and S a subset of G. Then S is product-free if S \ SS = ;, and S fills G if...
AbstractWe show that the number of maximal sum-free subsets of {1,2,…,n} is at most 23n/8+o(n). We a...
Cameron and Erdős [6] asked whether the number of maximal sum-free sets in { 1 , . . . , n } is much...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...