AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written additively, though not necessarily Abelian, and the sums ai1 + … + aim, 1 ⩽ i1 < … < im ⩽ k do not represent 0, then they represent at least 2k − 1 distinct elements, and this bound 2k − 1 is attained only when k ⩽ 3 or when the elements a1, …, ak generate a dihedral group
AbstractA subset S={s1,…,sk} of an abelian group G is called an St-set of size k if all sums of t di...
AbstractLet G be an abelian group of order k. How is the problem of minimizing the number of sums fr...
AbstractA conjecture of Gao and Leader, recently proved by Sun, states that if X=(xi)i=1n is a seque...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
For a non-empty $k$-element set $A$ of an additive abelian group $G$ and a positive integer $r \leq ...
For a non-empty $k$-element set $A$ of an additive abelian group $G$ and a positive integer $r \leq ...
AbstractLet G be a finite (additive written) abelian group of order n. Let w1,…,wn be integers copri...
AbstractLet G be a group written additively and let A denote a set of nonzero elements of G. The sma...
15 pagesInternational audienceGiven a finite subset A of an abelian group G, we study the set k \wed...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
We show that a zero-sum-free sequence of length $n$ over an abelian group spans at least $2n$ distin...
AbstractLet A be a set of k⩾5 elements of an Abelian group G in which the order of the smallest nonz...
AbstractLet G be a finite abelian group of order n and S a sequence of 2n − 1 elements in G. For eve...
AbstractA subset S={s1,…,sk} of an abelian group G is called an St-set of size k if all sums of t di...
AbstractLet G be an abelian group of order k. How is the problem of minimizing the number of sums fr...
AbstractA conjecture of Gao and Leader, recently proved by Sun, states that if X=(xi)i=1n is a seque...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
For a non-empty $k$-element set $A$ of an additive abelian group $G$ and a positive integer $r \leq ...
For a non-empty $k$-element set $A$ of an additive abelian group $G$ and a positive integer $r \leq ...
AbstractLet G be a finite (additive written) abelian group of order n. Let w1,…,wn be integers copri...
AbstractLet G be a group written additively and let A denote a set of nonzero elements of G. The sma...
15 pagesInternational audienceGiven a finite subset A of an abelian group G, we study the set k \wed...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
We show that a zero-sum-free sequence of length $n$ over an abelian group spans at least $2n$ distin...
AbstractLet A be a set of k⩾5 elements of an Abelian group G in which the order of the smallest nonz...
AbstractLet G be a finite abelian group of order n and S a sequence of 2n − 1 elements in G. For eve...
AbstractA subset S={s1,…,sk} of an abelian group G is called an St-set of size k if all sums of t di...
AbstractLet G be an abelian group of order k. How is the problem of minimizing the number of sums fr...
AbstractA conjecture of Gao and Leader, recently proved by Sun, states that if X=(xi)i=1n is a seque...
DOI
Add to ORKG