The limit set of subgroups of arithmetic groups in \(\mathrm{PSL}(2,\mathbb C)^q\times\mathrm{PSL}(2,\mathbb R)^r\).

DOI10.4171/GGD/256zbMath1336.20048arXiv1001.1720MaRDI QIDQ2264078

Slavyana Geninska

Publication date: 20 March 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1720

zbMATH Keywords

Fuchsian groupsirreducible latticeslimit setsKleinian groupsarithmetic groupsSchottky groupsarithmetic lattices

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (2)

The limit sets of subgroups of lattices in \(\mathrm {PSL}(2,\mathbb R)^r\) ⋮ Examples of infinite covolume subgroups of PSL\((2, \mathbb R)^r\) with big limit sets

Cites Work

• Asymptotic properties of linear groups
• Patterson-Sullivan theory in higher rank symmetric spaces
• Modular embeddings for some non-arithmetic Fuchsian groups
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