On the isomorphism problem for monoids of product‐one sequences

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.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-03-06
DOI
https://doi.org/10.1112/blms.70042
Citations
2
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
10.76

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article

On the isomorphism problem for monoids of product‐one sequences

Alfred Geroldinger, Jun Seok Oh
2 citations
Bulletin of the London Mathematical Society
Rings, Modules, and Algebras
10.76
article

On the isomorphism problem for monoids of product‐one sequences

Alfred Geroldinger, Jun Seok Oh
article en
2 citations

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 57(5)
University of Graz (AT), Jeonju National University of Education (KR), Nawi Graz (AT), Jeju National University (KR)
Austrian Science Fund, National Research Foundation of Korea
Openalex Percentile: Top 3%
Rings, Modules, and Algebras
10.76
DOIOpen Access PDFOpenAlex
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