Centers of Artin groups defined on cones

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.

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Publication Details

Journal
Proceedings of the Edinburgh Mathematical Society
Published
2024-11-15
DOI
https://doi.org/10.1017/s0013091524000695
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Centers of Artin groups defined on cones

Kasia Jankiewicz, MurphyKate Montee
Proceedings of the Edinburgh Mathematical Society
Geometric and Algebraic Topology
article

Centers of Artin groups defined on cones

Kasia Jankiewicz, MurphyKate Montee
article en

Abstract

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.

Proceedings of the Edinburgh Mathematical SocietyVol. 68(1)
University of California, Santa Cruz (US), Carleton College (US)
National Science Foundation
Openalex Percentile: Top 68%
Geometric and Algebraic Topology
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