Surface subgroups of Kleinian groups with torsion

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Lackenby, Marc
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Abstract
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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.
Comment: 21 pages, 2 figures; final version, to appear in Invent. Math
Keywords
Mathematics - Geometric Topology, Mathematics - Differential Geometry, 57N10, 57M10, 11F06
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