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arXiv · 1805.02697

Profinite rigidity in the SnapPea census

Giles Gardam
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Abstract

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.

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BibTeXRIS

Giles Gardam. 2018-05-07. Profinite rigidity in the SnapPea census. https://doi.org/10.1080/10586458.2019.1577766

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