Alspach–Liversidge conjecture on strong sequenceability of abelian groups

Let $G$ be an abelian group. A subset $A$ of $G\setminus\{0\}$ is sequenceable if it admits an ordering whose partial sums are distinct, except that the initial and final partial sums may coincide; $G$ is strongly sequenceable if every subset of $G\setminus\{0\}$ is sequenceable.

Alspach–Liversidge conjecture. Every abelian group is strongly sequenceable.

This amalgamates several earlier questions and conjectures about sequenceability. The paper records results for various bounds on the size of the subset and on the order or structure of the group, but the assertion for all abelian groups remains open.