We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.GR

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Group Theory

Title: Quantifying separability in RAAGs via representations

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.
Comments: arXiv admin note: substantial text overlap with arXiv:2303.03644
Subjects: Group Theory (math.GR); Geometric Topology (math.GT)
MSC classes: 20E26, 20C99
Cite as: arXiv:2403.17964 [math.GR]
  (or arXiv:2403.17964v1 [math.GR] for this version)

Submission history

From: Olga Kharlampovich [view email]
[v1] Thu, 14 Mar 2024 18:47:11 GMT (153kb,D)

Link back to: arXiv, form interface, contact.