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

By Slavyana Geninska

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.Comment: 21 page

Topics: Mathematics - Group Theory, Mathematics - Geometric Topology, 20H10 (Primary) 11F06, 22E40 (Secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1103.2555
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