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arXiv · 2201.06591

The $K(\pi,1)$-conjecture implies the center conjecture for Artin groups

Kasia Jankiewicz·Kevin Schreve
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Abstract

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

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Kasia Jankiewicz, Kevin Schreve. 2022-01-17. The $K(\pi,1)$-conjecture implies the center conjecture for Artin groups. https://arxiv.org/abs/2201.06591

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