Centers of Artin groups defined on cones
arXiv:2406.06480 · doi:10.1017/S0013091524000695
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.
8 pages, 1 figure. Comments are welcome!