Work

On the isomorphism problem for monoids of product‐one sequences

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70042

Authors: Alfred Geroldinger, Jun Seok Oh

Institutions: University of Graz, Nawi Graz, Jeju National University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: National Research Foundation, Austrian Science Fund, National Research Foundation of Korea, Ministry of Science and ICT, South Korea

Awards: G7074300810, Combinatorial Factorization Theory

OpenAlex ID: W4408391689

FWCI: 6.802

Cites: 28

Cited by: 3

Related to: 10