Publication date
July 1968
DOI Publisher
Published by Elsevier Inc. ISSN
0021-9800Abstract
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of elements in a finite elementary Abelian group
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of elements in a finite elementary Abelian group
Let A = (A1,..., Am) be a sequence of finite subsets from an additive abelian group G. Let \Sigma `(...
AbstractLet G be a finite abelian group with a ‘sufficiently small’ proportion of elements of order ...
In this paper we prove that every element in the finite Abelian group Z(p) x Z(p) can be written as ...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
AbstractThe following theorems are proved:o(1)Let A⊕B=A∪B∪(A+B). If G is a finite Abelian group and ...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
AbstractLet G be a group written additively and let A denote a set of nonzero elements of G. The sma...
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
AbstractLet G be a finite abelian group of order n and S a sequence of 2n − 1 elements in G. For eve...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
AbstractWe establish several addition theorems on finite abelian groups by employing a group ring as...
AbstractLet A be a set of k⩾5 elements of an Abelian group G in which the order of the smallest nonz...
AbstractThis paper continues the discussion of the number s(G) defined, for a finite Abelian group G...
AbstractLet G be a finite (additive written) abelian group of order n. Let w1,…,wn be integers copri...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
Let A = (A1,..., Am) be a sequence of finite subsets from an additive abelian group G. Let \Sigma `(...
AbstractLet G be a finite abelian group with a ‘sufficiently small’ proportion of elements of order ...
In this paper we prove that every element in the finite Abelian group Z(p) x Z(p) can be written as ...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
AbstractThe following theorems are proved:o(1)Let A⊕B=A∪B∪(A+B). If G is a finite Abelian group and ...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
AbstractLet G be a group written additively and let A denote a set of nonzero elements of G. The sma...
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
AbstractLet G be a finite abelian group of order n and S a sequence of 2n − 1 elements in G. For eve...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
AbstractWe establish several addition theorems on finite abelian groups by employing a group ring as...
AbstractLet A be a set of k⩾5 elements of an Abelian group G in which the order of the smallest nonz...
AbstractThis paper continues the discussion of the number s(G) defined, for a finite Abelian group G...
AbstractLet G be a finite (additive written) abelian group of order n. Let w1,…,wn be integers copri...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
Let A = (A1,..., Am) be a sequence of finite subsets from an additive abelian group G. Let \Sigma `(...
AbstractLet G be a finite abelian group with a ‘sufficiently small’ proportion of elements of order ...
In this paper we prove that every element in the finite Abelian group Z(p) x Z(p) can be written as ...
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