A problem on zero subsums in abelian groups
type: Item
instance of: scholarly article
title: A problem on zero subsums in abelian groups
zbMATH Open document ID: 0923.11039
DOI: 10.1023/A:1004340523919
author: Gergely Harcos
author: Imre Z. Ruzsa
published in: Periodica Mathematica Hungarica
publication date: 1999-05-18T00:00:00Z
review text: This short paper gives a very nice proof of the following result. Let \(s=\{a_1,a_2,\ldots\}\) be an element of an abelian group with the property that order \((a_m)S> m^m\), when there is a partition \(S=S_1\cup S_2\) such that no (finite) subsum of elements of \(S_1\) (resp. \(S_2\)) is zero. This result is related to a conjecture of Erdős solved by the author.
Mathematics Subject Classification ID: 11B75
Mathematics Subject Classification ID: 20K99
zbMATH DE Number: 1288318
zbMATH Keywords: zero subsum
zbMATH Keywords: abelian group
zbMATH Keywords: partition
reviewed by: Carlos A. Berenstein
MaRDI profile type: Publication
full work available at URL: a:1004340523919
OpenAlex ID: W1868087220
description: scientific article; zbMATH DE number 1288318