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Incommensurability criteria for Kleinian groups

Incommensurability criteria for Kleinian groups
Incommensurability criteria for Kleinian groups
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.
Kleinian group, hyperbolic 3-manifold, commensurable
0002-9939
253-258
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98

Anderson, James W. (2002) Incommensurability criteria for Kleinian groups. Proceedings of the American Mathematical Society, 130 (1), 253-258. (doi:10.1090/S0002-9939-01-06076-2).

Record type: Article

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.

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Published date: 2002
Keywords: Kleinian group, hyperbolic 3-manifold, commensurable

Identifiers

Local EPrints ID: 29875
URI: http://eprints.soton.ac.uk/id/eprint/29875
ISSN: 0002-9939
PURE UUID: 6a76ed66-2b79-45f8-a9e0-c0a9611dd45d
ORCID for James W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

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Date deposited: 10 May 2006
Last modified: 18 Feb 2021 16:46

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