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Zariski Closures and Subgroup Separability

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arxiv 1510.04144 v2 pith:MTCNSVES submitted 2015-10-14 math.GR math.GT

Larsen Louder , D.B. McReynolds , Priyam Patel This is my paper
classification math.GRmath.GT
keywords subgroupfreesurfacefinitelygeneratedgroupseparabilityzariski
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The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generated subgroup, there is a finite dimensional representation of the free or surface group that separates the subgroup in the induced Zariski topology. As a corollary, we establish a polynomial upper bound on the size of the quotients used to separate a finitely generated subgroup in a free or surface group.

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Cited by 1 Pith paper

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  1. Primitive invariants from laminations

    math.GT 2025-07 reject novelty 3.0 of 10

    The paper proposes a lamination-based reformulation of Gromov-Witten invariants for complete intersections, but the main theorems are asserted without valid derivations.

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