Zero-sum free sets with small sum-set

Author:

Bhowmik Gautami,Halupczok Immanuel,Schlage-Puchta Jan-Christoph

Abstract

Let A A be a zero-sum free subset of Z n \mathbb {Z}_n with | A | = k |A|=k . We compute for k 7 k\leq 7 the least possible size of the set of all subset-sums of A A .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference5 articles.

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3. On the structure of zerofree sequences;Gao, Weidong;Combinatorica,1998

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1. INVERSE PROBLEMS OF SUBSET SUMS OF ZERO-SUM FREE SET WITH SIX ELEMENTS IN FINITE ABELIAN GROUPS;JP Journal of Algebra, Number Theory and Applications;2022-11-11

2. Sums of sets of abelian group elements;Journal of Number Theory;2020-03

3. On subset sums of a zero-sum free set of seven elements from an abelian group;Colloquium Mathematicum;2020

4. On subset sums of zero-sum free sets of abelian groups;International Journal of Number Theory;2019-03-21

5. Long unsplittable zero-sum sequences over a finite cyclic group;International Journal of Number Theory;2016-04-10

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