Endomorphisms of Artin groups of type $\tilde A_n$

Luis Paris; Ignat Soroko

doi:10.1016/j.jalgebra.2025.04.001

Endomorphisms of Artin groups of type $\tilde A_n$

Group Theory 2026-04-16 v4

Authors: Luis Paris , Ignat Soroko

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Abstract

We determine a classification of the endomorphisms of the Artin group of affine type $\tilde A_n$ for $n\ge 4$ .

Keywords

Artin groups endomorphisms type $\tilde A_n$ classification

Cite

@article{arxiv.2406.02484,
  title  = {Endomorphisms of Artin groups of type $\tilde A_n$},
  author = {Luis Paris and Ignat Soroko},
  journal= {arXiv preprint arXiv:2406.02484},
  year   = {2026}
}

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

Endomorphisms of Artin groups of type $\tilde A_n$

Abstract

Keywords

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