Add to ORKGA subset S = {s 1 , . . . , s k of an Abelian group G is called an S t -set of size k if all sums of t different elements in S are distinct. Let s(G) denote the cardinality of the largest S 2 -set in G. Let v(k) denote the order of the smallest Abelian group for which s(G) k. We develop bounds for s(G), and we determine v(k) for k groups of order up to 183 using exhaustive backtrack search with isomorph rejection
International audienceLet A, B and S be three subsets of a finite Abelian group G. The restricted su...
Abstract. A subset A of a finite abelian group (G, +) is called a B h set on G if all sums of h elem...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
A subset S = {s 1 , . . . , s k of an Abelian group G is called an S t -set of size k if all su...
AbstractA subset S={s1,…,sk} of an Abelian group G is called an St-set of size k if all sums of t di...
A subset S = {s_1, ..., s_k} of an abelian group G is called an S_t-set of size k if all sums of t d...
AbstractA subset S={s1,…,sk} of an abelian group G is called an St-set of size k if all sums of t di...
1. Introduction * Let X = {xl9 •••, xn} be a set of (not necessarily distinct)1 elements of a torsio...
We survey the state of research to determine the maximum size of a nonspanning subset of a finite ab...
AbstractWe survey the state of research to determine the maximum size of a nonspanning subset of a f...
We call a subset A of the (additive) abelian group G t-independent if for all non-negative integers ...
Let G be a finite abelian group of order g: We determine, for all 1pr; spg; the minimal size mGðr; 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...
International audienceWe continue our investigation on how small a sumset can be in a given abelian ...
AbstractLet G be a finite abelian group of order g. We determine, for all 1⩽r,s⩽g, the minimal size ...
International audienceLet A, B and S be three subsets of a finite Abelian group G. The restricted su...
Abstract. A subset A of a finite abelian group (G, +) is called a B h set on G if all sums of h elem...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
A subset S = {s 1 , . . . , s k of an Abelian group G is called an S t -set of size k if all su...
AbstractA subset S={s1,…,sk} of an Abelian group G is called an St-set of size k if all sums of t di...
A subset S = {s_1, ..., s_k} of an abelian group G is called an S_t-set of size k if all sums of t d...
AbstractA subset S={s1,…,sk} of an abelian group G is called an St-set of size k if all sums of t di...
1. Introduction * Let X = {xl9 •••, xn} be a set of (not necessarily distinct)1 elements of a torsio...
We survey the state of research to determine the maximum size of a nonspanning subset of a finite ab...
AbstractWe survey the state of research to determine the maximum size of a nonspanning subset of a f...
We call a subset A of the (additive) abelian group G t-independent if for all non-negative integers ...
Let G be a finite abelian group of order g: We determine, for all 1pr; spg; the minimal size mGðr; 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...
International audienceWe continue our investigation on how small a sumset can be in a given abelian ...
AbstractLet G be a finite abelian group of order g. We determine, for all 1⩽r,s⩽g, the minimal size ...
International audienceLet A, B and S be three subsets of a finite Abelian group G. The restricted su...
Abstract. A subset A of a finite abelian group (G, +) is called a B h set on G if all sums of h elem...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...