Surface subgroups of Kleinian groups with torsion

Details Surface subgroups of Kleinian groups with torsion Surface subgroups of Kleinian groups with torsion

2008-04-08

arxiv.org/abs/0804.1309v3

Mathematics

Geometric Topology

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

Scientific paper

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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