Quantifying separability in RAAGs via representations
Abstract
We answer the question raised by Louder, McReynolds and Patel in their 2017 article and prove the following statement. Let L be a right-angled Artin group (abbreviated as RAAG) and H a word quasiconvex subgroup of L ; then there is a finite-dimensional representation of L that separates the subgroup H in the induced Zariski topology. As a corollary, we establish a polynomial upper bound on the size of the quotients used to separate H in L . This implies the same statement for a virtually special group L , and, in particular, for the fundamental groups of a hyperbolic 3 -manifold.
Fields of Study & Subjects
Medical Imaging Techniques and Applications
Medical Image Segmentation Techniques
Fault Detection and Control Systems
Publication details
- Journal / source
- Groups Geometry and Dynamics
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Publication date
- 17 September 2026
- Language
- EN