- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:00
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
subscribers, moving wall 5 years
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
8
2014
1
Rank gradient in co-final towers of certain Kleinian groups
Darlan
Girão
Universidade Federal do Ceará, FORTALEZA - CEARA, BRAZIL
Kleinian groups, rank of groups
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 $\mathbb{H}^3$ 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.
Manifolds and cell complexes
143
155
10.4171/GGD/220
http://www.ems-ph.org/doi/10.4171/GGD/220