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SUMMARY:All finitely generated 3-manifold groups are Grothendieck rigid - 
 Hongbin Sun (Rutgers)
DTSTART:20210528T124500Z
DTEND:20210528T134500Z
UID:TALK159832@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:A finitely generated residually finite group G is said to be G
 rothendieck rigid if for any finitely generated proper subgroup H < G\, th
 e inclusion induced homomorphism \\hat{H}\\to \\hat{G} on their profinite 
 completions is not an isomorphism. There do exist finitely presented group
 s that are not Grothendieck rigid. We will prove that\, if we restrict to 
 the family of finitely generated 3-manifold groups\, then all these groups
  are Grothendieck rigid. The proof relies on a precise description on non-
 separable subgroups of 3-manifold groups.
LOCATION:Zoom https://maths-cam-ac-uk.zoom.us/j/95208706709
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