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arxiv: 0901.4239 · v1 · submitted 2009-01-27 · 🧮 math.GT · math.GR

Controlling manifold covers of orbifolds

classification 🧮 math.GT math.GR
keywords answersapplicationsarithmeticarticleauthorconjecturecontrollingcovers
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In this article we prove a generalization of Selberg's lemma on the existence of torsion free, finite index subgroups of arithmetic groups. Some of the geometric applications are the resolution a conjecture of Nimershiem and answers to questions of Long-Reid and the author.

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