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Subgroup distortion of 3-manifold groups (1904.12253v3)
Published 28 Apr 2019 in math.GR and math.GT
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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