All finitely generated 3-manifold groups are Grothendieck rigid
Hongbin Sun
Rutgers University, Piscataway, USA
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Abstract
In this paper, we prove that all finitely generated -manifold groups are Grothendieck rigid. More precisely, for any finitely generated -manifold group and any finitely generated proper subgroup , we show that the inclusion induced homomorphism on profinite completions is not an isomorphism.
Cite this article
Hongbin Sun, All finitely generated 3-manifold groups are Grothendieck rigid. Groups Geom. Dyn. 17 (2023), no. 2, pp. 385–402
DOI 10.4171/GGD/701