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.
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Supported by an EPSRC Advanced Research Fellowship.
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Lackenby, M. Surface subgroups of Kleinian groups with torsion. Invent. math. 179, 175–190 (2010). https://doi.org/10.1007/s00222-009-0215-5
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DOI: https://doi.org/10.1007/s00222-009-0215-5