Cancellative Elliptic Artin Monoids

Fuente: arXiv
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Main Author: Neaime, Georges
Format: Preprint
Published: 2025
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author Neaime, Georges
author_facet Neaime, Georges
contents We define new presentations for elliptic Artin groups. We also show that the elliptic monoids defined by these presentations are cancellative. This solves the failure of cancellativity for the presentations of elliptic Artin monoids that were introduced before in the literature. Our approach also paves the way to construct Garside structures for elliptic Artin monoids and groups.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18267
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cancellative Elliptic Artin Monoids
Neaime, Georges
Group Theory
We define new presentations for elliptic Artin groups. We also show that the elliptic monoids defined by these presentations are cancellative. This solves the failure of cancellativity for the presentations of elliptic Artin monoids that were introduced before in the literature. Our approach also paves the way to construct Garside structures for elliptic Artin monoids and groups.
title Cancellative Elliptic Artin Monoids
topic Group Theory
url https://arxiv.org/abs/2501.18267