Pro-p groups and towers of rational homology spheres
Pro-p groups and towers of rational homology spheres
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DOI：
10.2140/gt.2006.10.331
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发表时间：
2009-02
期刊：
影响因子：
--
通讯作者：
N. Boston;J. Ellenberg
中科院分区：
文献类型：
--
作者：
N. Boston;J. Ellenberg
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.
