Work

Centers of Artin groups defined on cones

Year: 2024

Type: article

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.

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s0013091524000695

Authors: Kasia Jankiewicz, MurphyKate Montee

Institutions: University of California, Santa Cruz, Carleton College

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: CAREER: Groups Acting on Combinatorial Objects, Subgroups in Artin Groups and Lattices in Products of Trees, LEAPS-MPS: Cubulation and Property (T) in Random Groups