On some exotic Schottky groups

Marc Peigné

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arXiv · 1010.5869

On some exotic Schottky groups

Marc Peigné

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Abstract

We construct a Cartan-Hadamard manifold with pinched negative curvature whose group of isometries possesses divergent discrete free subgroups with parabolic elements who do not satisfy the so-called "parabolic gap condition" . This construction relies on the comparaison between the Poincar\'e series of these free groups and the potential of some transfer operator which appears naturally in this context.

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Marc Peigné. 2010-10-28. On some exotic Schottky groups. https://arxiv.org/abs/1010.5869

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