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Examples of infinite covolume subgroups of \({{\rm PSL} (2, \mathbb R)^r}\) with big limit sets

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Abstract

We provide examples of finitely generated infinite covolume subgroups of \({{\rm PSL}(2,\mathbb R)^r}\) 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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Authors and Affiliations

  1. Karlsruher Institut für Technologie, Kaiserstr. 89-93, 76133, Karlsruhe, Germany

    Slavyana Geninska

  2. Université de Provence, 39 rue F. Joliot Curie, 13453, Marseille, France

    Slavyana Geninska

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  1. Slavyana Geninska
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Geninska, S. Examples of infinite covolume subgroups of \({{\rm PSL} (2, \mathbb R)^r}\) with big limit sets. Math. Z. 272, 389–404 (2012). https://doi.org/10.1007/s00209-011-0939-y

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  • DOI: https://doi.org/10.1007/s00209-011-0939-y

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