Pro-p groups and towers of rational homology spheres

Details Pro-p groups and towers of rational homology spheres Pro-p groups and towers of rational homology spheres

2009-02-26

arxiv.org/abs/0902.4567v1

Geom. Topol. 10 (2006) 331-334

Mathematics

Geometric Topology

This is the version published by Geometry & Topology on 2 April 2006

Scientific paper

10.2140/gt.2006.10.331

In the preceding paper, Calegari and Dunfield exhibit a sequence of hyperbolic 3-manifolds which have increasing injectivity radius, and which, subject to some conjectures in number theory, are rational homology spheres. We prove unconditionally that these manifolds are rational homology spheres, and give a sufficient condition for a tower of hyperbolic 3-manifolds to have first Betti number 0 at each level. The methods involved are purely pro-p group theoretical.

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