On the isomorphism problem for monoids of product-one sequences
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909494247686144 |
|---|---|
| author | Geroldinger, Alfred Oh, Jun Seok |
| author_facet | Geroldinger, Alfred Oh, Jun Seok |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01459 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the isomorphism problem for monoids of product-one sequences Geroldinger, Alfred Oh, Jun Seok Commutative Algebra Group Theory Number Theory 11B30, 20M13, 20M14 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. |
| title | On the isomorphism problem for monoids of product-one sequences |
| topic | Commutative Algebra Group Theory Number Theory 11B30, 20M13, 20M14 |
| url | https://arxiv.org/abs/2304.01459 |