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Centers of Artin groups defined on cones

Group Theory 2025-02-26 v1

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

Cite

@article{arxiv.2406.06480,
  title  = {Centers of Artin groups defined on cones},
  author = {Kasia Jankiewicz and MurphyKate Montee},
  journal= {arXiv preprint arXiv:2406.06480},
  year   = {2025}
}

Comments

8 pages, 1 figure. Comments are welcome!