A problem on zero subsums in abelian groups (Q1288892)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A problem on zero subsums in abelian groups |
scientific article; zbMATH DE number 1288318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A problem on zero subsums in abelian groups |
scientific article; zbMATH DE number 1288318 |
Statements
A problem on zero subsums in abelian groups (English)
0 references
18 May 1999
0 references
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.
0 references
zero subsum
0 references
abelian group
0 references
partition
0 references
