Subgroup distortion of 3-manifold groups

Nguyen, Hoang; Sun, Hongbin

doi:10.1090/tran/8139

Subgroup distortion of 3-manifold groups

Authors: Hoang Thanh Nguyen and Hongbin Sun
Journal: Trans. Amer. Math. Soc. 373 (2020), 6683-6711
MSC (2010): Primary 20F65, 20F67, 57M50
DOI: https://doi.org/10.1090/tran/8139
Published electronically: July 3, 2020
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Abstract: In this paper, we compute the subgroup distortion of all finitely generated subgroups of all finitely generated -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 -manifold group is closely related to the separability of this subgroup.

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