A combination theorem for the twist conjecture for Artin groups
Abstract
We reduce a strong version of the twist conjecture for Artin groups to Artin groups whose defining graphs have no separating vertices. This produces new examples of Artin groups satisfying the conjecture, and sheds more light on the isomorphism problem for Artin groups. Along the way we also prove a combination result for the ribbon property for vertices.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Finite Group Theory Research
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 701
- Pages
- 436–476
- Publication date
- 23 April 2026
- Language
- EN