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Article Dans Une Revue Journal für die reine und angewandte Mathematik Année : 2019

Free vs. Locally Free Kleinian Groups

Résumé

We prove that Kleinian groups whose limit sets are Cantor sets of Hausdorff dimension $<1$ are free. On the other hand we construct for any $\epsilon>0$ examples of non-free purely hyperbolic Kleinian groups whose limit set is a Cantor set of Hausdorff dimension $<1+\epsilon$.

Dates et versions

hal-01178620 , version 1 (20-07-2015)

Identifiants

Citer

Pekka Pankka, Juan Souto. Free vs. Locally Free Kleinian Groups. Journal für die reine und angewandte Mathematik, 2019, 2019 (746), pp.149-170. ⟨10.1515/crelle-2016-0005⟩. ⟨hal-01178620⟩
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