On the isomorphism problem for monoids of product-one sequences

Autor:	Geroldinger, Alfred, Oh, Jun Seok
Rok vydání:	2023
Předmět:	Mathematics - Commutative Algebra Mathematics - Group Theory Mathematics - Number Theory 11B30 20M13 20M14
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.01459 Zobrazit plný text záznamu View this record from Arxiv