On the isomorphism problem for monoids of product-one sequences

2023/04/04 by Alfred Geroldinger, Geroldinger, Alfred, Jun Seok Oh +1 · 1 citation
Computer Science · Mathematics · #11B30 #20M13 #20M14 #Advanced Topology and Set Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Rings, Modules, and Algebras #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2304.01459

openalex publication_date 2023/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G₁ and G₂ be torsion groups. We prove that the monoids of product-one sequences over G₁ and over G₂ are isomorphic if and only if the groups G₁ and G₂ are isomorphic. This was known before for abelian groups.

Cited by

• The catenary degree of monoids of product-one sequences

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