Rank gradient in co-final towers of certain Kleinian groups
Groups, geometry, and dynamics, Tome 8 (2014) no. 1, pp. 143-155
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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 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.
Classification :
57-XX
Mots-clés : Kleinian groups, rank of groups
Mots-clés : Kleinian groups, rank of groups
Affiliations des auteurs :
Darlan Girão  1
Darlan Girão. Rank gradient in co-final towers of certain Kleinian groups. Groups, geometry, and dynamics, Tome 8 (2014) no. 1, pp. 143-155. doi: 10.4171/ggd/220
@article{10_4171_ggd_220,
author = {Darlan Gir\~ao},
title = {Rank gradient in co-final towers of certain {Kleinian} groups},
journal = {Groups, geometry, and dynamics},
pages = {143--155},
year = {2014},
volume = {8},
number = {1},
doi = {10.4171/ggd/220},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/220/}
}
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