Endomorphisms of Artin groups of type $B_n$

TL;DR

This paper classifies the endomorphisms of Artin groups of type B_n for n ≥ 5 and their quotients by the center, advancing understanding of their algebraic structure.

Contribution

It provides a complete classification of endomorphisms for these specific Artin groups and their quotients, a previously unresolved problem.

Findings

Classified endomorphisms of Artin groups of type B_n for n ≥ 5

Analyzed endomorphisms of quotients by the center

Enhanced understanding of algebraic structure of these groups

Abstract

We determine a classification of the endomorphisms of the Artin groups of spherical type $B_n$ for $n\ge 5$, and of their quotients by the center.