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
253-258
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
2002
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), .
(doi:10.1090/S0002-9939-01-06076-2).
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.
Text
S0002-9939-01-06076-2.pdf
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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
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Date deposited: 10 May 2006
Last modified: 08 Jan 2022 02:43
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