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arXiv · 1103.2555

Examples of infinite covolume subgroups of $PSL(2,R)^r$ with big limit sets

Slavyana Geninska
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Abstract

We provide examples of finitely generated infinite covolume subgroups of $PSL(2,R)^r$ with a "big" limit set, e.g. that contains an open subset of the geometric boundary. They are given by the so called semi-arithmetic Fuchsian groups admitting modular embeddings.

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Slavyana Geninska. 2011-03-13. Examples of infinite covolume subgroups of $PSL(2,R)^r$ with big limit sets. https://arxiv.org/abs/1103.2555

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