JournalsggdVol. 8, No. 1pp. 143–155

Rank gradient in co-final towers of certain Kleinian groups

  • Darlan Girão

    Universidade Federal do Ceará, Fortaleza, Brazil
Rank gradient in co-final towers of certain Kleinian groups cover
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Abstract

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 polyhedron in H3\mathbb{H}^3 then it has a co-final tower of finite sheeted covers with positive rank gradient. The manifolds we consider are also known to have co-final towers of covers with zero rank gradient.

Cite this article

Darlan Girão, Rank gradient in co-final towers of certain Kleinian groups. Groups Geom. Dyn. 8 (2014), no. 1, pp. 143–155

DOI 10.4171/GGD/220