Endomorphisms of Artin groups of type $\tilde A_n$

Luis Paris; Ignat Soroko

doi:10.1016/j.jalgebra.2025.04.001

paper

Endomorphisms of Artin groups of type $A ~_{n}$

arXiv:2406.02484 · doi:10.1016/j.jalgebra.2025.04.001

Abstract

We determine a classification of the endomorphisms of the Artin group of affine type $A ~_{n}$ for $n \geq 4$ .

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

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Endomorphisms of Artin groups of type $B_{n}$

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Endomorphisms of Artin groups of type $B_{n}$

Endomorphisms of Artin groups of type A~n​

Abstract

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Endomorphisms of Artin groups of type $A ~_{n}$