Subgroup distortion of 3-manifold groups

2019/04/28 by Hoang Thanh Nguyen, Hongbin Sun, Nguyen, Hoang Thanh +1 · 1 citation
Mathematics · #Geometric and Algebraic Topology #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1904.12253

Abstract

In this paper, we compute the subgroup distortion of all finitely generated subgroups of all finitely generated 3-manifold groups, and the subgroup distortion in this case can only be linear, quadratic, exponential and double exponential. It turns out that the subgroup distortion of a subgroup of a 3-manifold group is closely related to the separability of this subgroup.

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• Quasi-redirecting boundaries of groups with linear divergence and 3-manifold groups

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