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Mathematics > Group Theory
Title: Quantifying separability in RAAGs via representations
(Submitted on 14 Mar 2024)
Abstract: 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.
Submission history
From: Olga Kharlampovich [view email][v1] Thu, 14 Mar 2024 18:47:11 GMT (153kb,D)
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