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Centers of Artin groups defined on cones

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  15 November 2024

Kasia Jankiewicz Open the ORCID record for Kasia Jankiewicz [Opens in a new window]  and
MurphyKate Montee Open the ORCID record for MurphyKate Montee [Opens in a new window]
Kasia Jankiewicz*
Affiliation:
Department of Mathematics, University of California, Santa Cruz, CA, USA
MurphyKate Montee
Affiliation:
Department of Mathematics and Statistics, Carleton College, Northfield, MN, USA
*
Corresponding author: Kasia Jankiewicz, email: [email protected]
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Abstract

We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. In particular, it holds for every Artin group whose defining graph has exactly one cone point.

Keywords

Artin groupsthe CenterConjecture

MSC classification

Primary: 20F36: Braid groups; Artin groups 20F65: Geometric group theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 68 , Issue 1 , February 2025 , pp. 44 - 50
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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