On the isomorphism problem for monoids of product-one sequences

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-03-06 DOI:10.1112/blms.70042

Alfred Geroldinger, Jun Seok Oh

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引用次数: 0

Abstract

Let $G_{1}$ and $G_{2}$ be torsion groups. We prove that the monoids of product-one sequences over $G_{1}$ and over $G_{2}$ are isomorphic if and only if the groups $G_{1}$ and $G_{2}$ are isomorphic. This was known before for abelian groups.