On the isomorphism problem for monoids of product-one sequences
Commutative Algebra
2025-02-18 v2 Group Theory
Number Theory
Abstract
Let and be torsion groups. We prove that the monoids of product-one sequences over and over are isomorphic if and only if the groups and are isomorphic. This was known before for abelian groups.
Keywords
Cite
@article{arxiv.2304.01459,
title = {On the isomorphism problem for monoids of product-one sequences},
author = {Alfred Geroldinger and Jun Seok Oh},
journal= {arXiv preprint arXiv:2304.01459},
year = {2025}
}
Comments
To appear in the Bulletin of the Lond. Math. Soc