June 4, 2024Open Access

Endomorphisms of Artin groups of type Aₙ

Key Points

Key points are not available for this paper at this time.

Abstract

We determine a classification of the endomorphisms of the Artin group of affine type Aₙ for n 4. In particular, we establish that these groups are co-Hopfian, which is the first known example of co-Hopfian Artin groups.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Paris et al. (Tue,) studied this question.

synapsesocial.com/papers/68e665ecb6db6435875f1bcf https://doi.org/https://doi.org/10.48550/arxiv.2406.02484

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Rigidity and classification results for large-type Artin groups2024
2Characterising large‐type Artin groups2024 · 2 citations
3Hecke and Artin monoids and their homomorphisms2024
4Around subgroups of Artin groups: derived subgroups and acylindrical hyperbolicity in the even FC-case2024
5Acylindrical hyperbolicity for Artin groups with a visual splitting2026

Bookmark

View Full Paper