Free vs. locally free Kleinian groups
Pankka, P., & Souto, J. (2019). Free vs. locally free Kleinian groups. Journal für die reine und angewandte Mathematik, 2019 (746), 149-170. doi:10.1515/crelle-2016-0005
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Journal für die reine und angewandte MathematikDate
2019Discipline
MatematiikkaCopyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston.
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 ε > 0 an example of a non-free purely hyperbolic Kleinian group whose limit set is a Cantor set of Hausdorff dimension < 1 + ε.
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Except where otherwise noted, this item's license is described as CC BY-NC-ND 4.0