# A problem on partial sums in abelian groups

## TL;DR

This paper introduces a conjecture about partial sums in finite subsets of abelian groups, explores its connections to open problems, and presents initial results on its validity.

## Contribution

It proposes a new conjecture related to partial sums in abelian groups and investigates its connections and preliminary results.

## Key findings

- Connection established with open problems in the field
- Initial results support the conjecture's validity
- Framework for future research on partial sums in abelian groups

## Abstract

In this paper we propose a conjecture concerning partial sums of an arbitrary finite subset of an abelian group, that naturally arises investigating simple Heffter systems. Then, we show its connection with related open problems and we present some results about the validity of these conjectures.