AbstractWe show that for any finite abelian group G there is a permutation (g1,…,g|G|) of the elements of G such that the number of distinct sums of the form g1+⋯+gj(1≤j≤|G|) is O(|G|), and another permutation for which the number of these sums is Ω(|G|). These bounds are sharp
LetZn denote the ring of integers modulo n. A permutation ofZn is a sequence of n distinct elements ...
AbstractIf G is a finite Abelian group, for what number s is it true that an arbitrary sequence of l...
AbstractLet a1, ..., ak be a sequence of elements in an Abelian group of order n (repetition allowed...
AbstractWe show that for any finite abelian group G there is a permutation (g1,…,g|G|) of the elemen...
Let G be an additive abelian group, let n ≥1 be an integer, let S be a sequence over G of length |S|...
We use a similar techique as in [2] to derive a formula for the number of multisubsets of a finite a...
AbstractLet G be an abelian group of order n and Davenport constant d and let k be a natural number....
Let G ≅ Cn1 ⊕ ⋯ ⊕ Cnr be a finite and nontrivial abelian group with n1|n2| ⋯ |nr. A conjecture of Ha...
A permutation pi of an abelian group G (that is, a bijection from G to itself) will be said to avoid...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
AbstractWe prove that if G is a finite abelian group of odd order n and A ⊂ G is of size a such that...
Abstract. A permutation pi of an abelian group G is said to destroy arithmetic progressions (APs) if...
AbstractLet G be an abelian group of order k. How is the problem of minimizing the number of sums fr...
A permutation pi of an abelian group G is said to destroy arithmetic progressions (APs) if, whenever...
We prove that if G is a finite abelian group of odd order n and A G is of size a such that for every...
LetZn denote the ring of integers modulo n. A permutation ofZn is a sequence of n distinct elements ...
AbstractIf G is a finite Abelian group, for what number s is it true that an arbitrary sequence of l...
AbstractLet a1, ..., ak be a sequence of elements in an Abelian group of order n (repetition allowed...
AbstractWe show that for any finite abelian group G there is a permutation (g1,…,g|G|) of the elemen...
Let G be an additive abelian group, let n ≥1 be an integer, let S be a sequence over G of length |S|...
We use a similar techique as in [2] to derive a formula for the number of multisubsets of a finite a...
AbstractLet G be an abelian group of order n and Davenport constant d and let k be a natural number....
Let G ≅ Cn1 ⊕ ⋯ ⊕ Cnr be a finite and nontrivial abelian group with n1|n2| ⋯ |nr. A conjecture of Ha...
A permutation pi of an abelian group G (that is, a bijection from G to itself) will be said to avoid...
AbstractLet S=(α1, …, α2p−1) be a sequence of 2p−1 elements of an Abelian group G of type (p, p). Th...
AbstractWe prove that if G is a finite abelian group of odd order n and A ⊂ G is of size a such that...
Abstract. A permutation pi of an abelian group G is said to destroy arithmetic progressions (APs) if...
AbstractLet G be an abelian group of order k. How is the problem of minimizing the number of sums fr...
A permutation pi of an abelian group G is said to destroy arithmetic progressions (APs) if, whenever...
We prove that if G is a finite abelian group of odd order n and A G is of size a such that for every...
LetZn denote the ring of integers modulo n. A permutation ofZn is a sequence of n distinct elements ...
AbstractIf G is a finite Abelian group, for what number s is it true that an arbitrary sequence of l...
AbstractLet a1, ..., ak be a sequence of elements in an Abelian group of order n (repetition allowed...
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