A subset S of an additive group G is called a maximal sum-free set in G if (S+S) [formula omitted] S = ø and |S| ≥ |T| for every sum-free set T in G. In this paper, the maximal sum-free sets in cyclic p–groups are characterized to within automorphism
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 ...
AbstractA sequence in an additively written abelian group is called zero-freeif each of its nonempty...
We give a brief survey on sum-free subsets of the natural numbers, highlighting recent results which...
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 group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
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 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...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...
AbstractThe main result of this paper is the complete characterization of maximal sum-free sets in A...
Abstract. In this paper we study sum-free sets of order m in finite Abelian groups. We prove a gener...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
AbstractFor any subsets A and B of an additive group G, define A + B = { a + b: a ϵ A and b ϵ B} and...
International audienceA subset $S$ of a finite abelian group, written additively, is called zero-sum...
AbstractWe show that the number of maximal sum-free subsets of {1,2,…,n} is at most 23n/8+o(n). We a...
Let M(2,1)(N) be the infimum of the largest sum-free subset of any set of N positive integers. An ol...
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 ...
AbstractA sequence in an additively written abelian group is called zero-freeif each of its nonempty...
We give a brief survey on sum-free subsets of the natural numbers, highlighting recent results which...
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 group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
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 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...
A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = {circled division slash}. Such...
AbstractThe main result of this paper is the complete characterization of maximal sum-free sets in A...
Abstract. In this paper we study sum-free sets of order m in finite Abelian groups. We prove a gener...
AbstractA subset S of an abelian group G is said to be sum-free if whenever a, b ∈ S, then a + b ∉ S...
AbstractFor any subsets A and B of an additive group G, define A + B = { a + b: a ϵ A and b ϵ B} and...
International audienceA subset $S$ of a finite abelian group, written additively, is called zero-sum...
AbstractWe show that the number of maximal sum-free subsets of {1,2,…,n} is at most 23n/8+o(n). We a...
Let M(2,1)(N) be the infimum of the largest sum-free subset of any set of N positive integers. An ol...
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 ...
AbstractA sequence in an additively written abelian group is called zero-freeif each of its nonempty...
We give a brief survey on sum-free subsets of the natural numbers, highlighting recent results which...
DOI
Add to ORKG