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

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

2011-03-13

arxiv.org/abs/1103.2555v1

Mathematics

Group Theory

21 pages

Scientific paper

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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