Open AccessRank gradient in co-final towers of certain Kleinian groups
Author(s) -
Darlan Girão
Publication year - 2014
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/220
Subject(s) - mathematics , kleinian group , rank (graph theory) , group (periodic table) , combinatorics , pure mathematics , chemistry , organic chemistry
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 H 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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