The K(π,1)-conjecture implies the center conjecture for Artin groups

Document Type

Article

Publication Date

2-1-2023

Abstract

In this note, we prove that the K(π,1)-conjecture for Artin groups implies the center conjecture for Artin groups. Specifically, every Artin group without a spherical factor that satisfies the K(π,1)-conjecture has a trivial center.

Publication Source (Journal or Book title)

Journal of Algebra

First Page

455

Last Page

463

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