Endomorphisms of Artin groups of type $\tilde A_n$

[2406.02484] Endomorphisms of Artin groups of type $\tilde A_n$ Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Group Theory arXiv:2406.02484 (math) [Submitted on 4 Jun 2024 ( v1 ), last revised 11 Apr 2025 (this version, v4)] Title: Endomorphisms of Artin groups of type $\tilde A_n$ Authors: Luis Paris , Ignat Soroko View a PDF of the paper titled Endomorphisms of Artin groups of type $\tilde A_n$, by Luis Paris and 1 other authors View PDF HTML (experimental) Abstract: We determine a classification of the endomorphisms of the Artin group of affine type $\tilde A_n$ for $n\ge 4$. Comments: v4: Proposition 3.5 and its proof are modified according to the referee's suggestions. Accepted in the Journal of Algebra. v3: Corollary 3.6 added; v2: a reference added, 20 pages, 6 figures Subjects: Group Theory (math.GR) MSC classes: 20F36 (Primary), 57K20 (Secondary) Cite as: arXiv:2406.02484 [math.GR] (or arXiv:2406.02484v4 [math.GR] for this version) https://doi.org/10.48550/arXiv.2406.02484 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J. Algebra 678 (2025), 809-830 Related DOI : https://doi.org/10.1016/j.jalgebra.2025.04.001 Focus to learn more DOI(s) linking to related resources Submission history From: Ignat Soroko [ view email ] [v1] Tue, 4 Jun 2024 16:54:22 UTC (53 KB) [v2] Fri, 7 Jun 2024 14:31:54 UTC (54 KB) [v3] Thu, 19 Sep 2024 07:26:33 UTC (54 KB) [v4] Fri, 11 Apr 2025 16:35:20 UTC (55 KB) Full-text links: Access Paper: View a PDF of the paper titled Endomorphisms of Artin groups of type $\tilde A_n$, by Luis Paris and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.GR < prev | next > new | recent | 2024-06 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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