Profinite Rigidity in the SnapPea Census
Copyright policy )Profinite Rigidity in the SnapPea Census
A well-known question asks whether any two non-isometric finite volume hyperbolic 3-manifolds are distinguished from each other by the finite quotients of their fundamental groups. At present, this has been proved only when one of the manifolds is a once-punctured torus bundle over the circle. We give substantial computational evidence in support of a positive answer, by showing that no two manifolds in the SnapPea census of 72 942 finite volume hyperbolic 3-manifolds have the same finite quotients.
16 pages, 3 figures
- University of Münster Germany
Mathematics - Geometric Topology, 20E18, 57M27, 20E26, 20-04, FOS: Mathematics, Geometric Topology (math.GT), Group Theory (math.GR), Mathematics - Group Theory
Mathematics - Geometric Topology, 20E18, 57M27, 20E26, 20-04, FOS: Mathematics, Geometric Topology (math.GT), Group Theory (math.GR), Mathematics - Group Theory
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