All finitely generated 3-manifold groups are Grothendieck rigid

2021/02/28 by Sun, Hongbin
#20E18 #20E26 #57M05 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2103.00547

Abstract

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

Related

• Grothendieck rigidity of 3-manifold groups
• Quasi-isometric rigidity of three manifold groups
• Quasi-isometric rigidity of extended admissible groups
• Absolute profinite rigidity of some closed fibered hyperbolic 3-manifolds
• Some remarks on Grothendieck pairs