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arXiv · 1904.12253

Subgroup distortion of 3-manifold groups

Hoang Thanh Nguyen·Hongbin Sun
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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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Hoang Thanh Nguyen, Hongbin Sun. 2019-04-28. Subgroup distortion of 3-manifold groups. https://arxiv.org/abs/1904.12253

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