The classical Schottky conjecture for Kleinian groups with small Hausdorff dimension

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Let Γ\Gamma be a Kleinian group with limit set Λ(Γ)\Lambda(\Gamma) of Hausdorff dimension less than 11. The classical Schottky conjecture. The group Γ\Gamma is a Schottky-type group and is classical. The preceding text states that the Schottky-type conclusion is already known in this range; the conjectural additional assertion is that the group is classical.

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Primary source

Michael Kapovich, “Kleinian groups in higher dimensions”, arXiv:math/0701370 (2007).

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