Acylindrical visual splittings and the Tits alternative for Artin groups
Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
Authors
- William D. Cohen
Institutions
- University of Cambridge (GB)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-08-19
- DOI
- https://doi.org/10.1112/blms.70468
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00