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Inventiones mathematicae
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Preprint . 2008
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Inventiones mathematicae
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Inventiones mathematicae
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Surface subgroups of Kleinian groups with torsion

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Aug 2009Embargo end date: 01 Jan 2008 English Publisher:Springer Science and Business Media LLCJournal:Inventiones mathematicae, volume 179, pages 175-190 (issn: 0020-9910, eissn: 1432-1297, Copyright policy )
Authors: Lackenby, M;

doi: 10.1007/s00222-009-0215-5 , 10.48550/arxiv.0804.1309

arXiv: http://arxiv.org/abs/0804.1309

Surface subgroups of Kleinian groups with torsion

Abstract

We prove that every finitely generated Kleinian group that contains a finite, non-cyclic subgroup either is finite or virtually free or contains a surface subgroup. Hence, every arithmetic Kleinian group contains a surface subgroup.

21 pages, 2 figures; final version, to appear in Invent. Math

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Keywords

Mathematics - Differential Geometry, Mathematics - Geometric Topology, Differential Geometry (math.DG), 57N10, 57M10, 11F06, FOS: Mathematics, Geometric Topology (math.GT)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Top 10%
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