A problem of Erdős on Abelian groups
type: Item
instance of: scholarly article
title: A problem of Erdős on Abelian groups
zbMATH Open document ID: 0643.20031
DOI: 10.1007/BF02579305
author: John E. Olson
published in: Combinatorica
publication date: 1987-01-01T00:00:00Z
review text: The following theorem is proved. If \(a_ 1,a_ 2,...,a_ n\) are nonzero elements in \({\mathbb{Z}}_ n\), and are not all equal, then \(\epsilon_ 1a_ 1+\epsilon_ 2a_ 2+...+\epsilon_ na_ n=0\) has at least n solutions with \(\epsilon_ i=0\) or 1.
Mathematics Subject Classification ID: 20K01
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 11D04
zbMATH DE Number: 4047955
zbMATH Keywords: number of solutions
zbMATH Keywords: finite abelian group
MaRDI profile type: Publication
cites work: Two combinatorial problems in group theory
cites work: A combinatorial problem on finite Abelian groups. II
full work available at URL: https://doi.org/10.1007/bf02579305
OpenAlex ID: W132114853
description: scientific article; zbMATH DE number 4047955