A problem on zero subsums in abelian groups
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.
scientific article; zbMATH DE number 1288318