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Incommensurability criteria for Kleinian groups

By James W. Anderson

Abstract

The purpose of this note is to present a criterion for an infinite collection of distinct hyperbolic 3-manifolds to be commensurably infinite. (Here, a collection of hyperbolic 3-manifolds is commensurably infinite if it contains representatives from infinitely many commensurability classes.) Namely, such a collection M is commensurably infinite if there is a uniform upper bound on the volumes of the manifolds in M

Topics: QA
Year: 2002
OAI identifier: oai:eprints.soton.ac.uk:29875
Provided by: e-Prints Soton
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