Rank gradient in co-final towers of certain Kleinian groups

Details Rank gradient in co-final towers of certain Kleinian groups Rank gradient in co-final towers of certain Kleinian groups

2011-02-21

arxiv.org/abs/1102.4281v1

Mathematics

Geometric Topology

15 pages, 2 figures

Scientific paper

We prove that if the fundamental group of an orientable finite volume
hyperbolic 3-manifold has finite index in the reflection group of a
right-angled ideal polyhedra in $\mathbb{H}^3$ then it has a co-final tower of
finite sheeted covers with positive rank gradient. The manifolds we provide are
also known to have co-final towers of covers with zero rank gradient.

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