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Bibliographic Details
Main Authors: Kharlampovich, Olga, Vdovina, Alina
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.17964
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Table of Contents:
  • We answer the question asked by Louder, McReynolds and Patel, and prove the following statement. Let L be a RAAG, 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, a fundamental groups of a hyperbolic 3-manifold.