Endomorphisms of Artin groups of type ${\tilde{A}}_n$

Abstract

We determine a classification of the endomorphisms of the Artin group of affine type ${\tilde{A}}_n$ for $n\ge 4$.

arXiv commentv4: 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

References in corpus (7)

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Cited by in corpus (1)

• Endomorphisms of Artin groups of type $B_n$