Geodesic
All finitely generated 3-manifold groups are Grothendieck rigid
Hongbin Sun1
1Rutgers University, Piscataway, USA
Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 385-402

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DOI

In this paper, we prove that all finitely generated 3-manifold groups are Grothendieck rigid. More precisely, for any finitely generated 3-manifold group G and any finitely generated proper subgroup H<G, we show that the inclusion induced homomorphism i:H→G on profinite completions is not an isomorphism.
DOI : 10.4171/ggd/701
Classification : 20-XX, 57-XX
Mots-clés : 3-manifold groups, profinite completions, Grothendieck rigidity, subgroup separability

Hongbin Sun  1

1 Rutgers University, Piscataway, USA 
Hongbin Sun. All finitely generated 3-manifold groups are Grothendieck rigid. Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 385-402. doi: 10.4171/ggd/701
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     author = {Hongbin Sun},
     title = {All finitely generated 3-manifold groups are {Grothendieck} rigid},
     journal = {Groups, geometry, and dynamics},
     pages = {385--402},
     year = {2023},
     volume = {17},
     number = {2},
     doi = {10.4171/ggd/701},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/701/}
}
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