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

DOI10.1007/s00209-011-0939-yzbMath1252.11040arXiv1103.2555OpenAlexW1576158532MaRDI QIDQ455667

Slavyana Geninska

Publication date: 22 October 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2555

zbMATH Keywords

latticeFuchsian grouparithmetic groupsemi-arithmetic group

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (4)

The limit sets of subgroups of lattices in \(\mathrm {PSL}(2,\mathbb R)^r\) ⋮ On cyclic CAT(0) domains of discontinuity ⋮ Modular embeddings and rigidity for Fuchsian groups ⋮ On arithmetic Fuchsian groups and their characterizations.

Cites Work

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• Asymptotic properties of linear groups
• On the trigonometry of symmetric spaces
• Sous-groupes conjugues d'un groupe linéaire
• Arithmetic groups and the length spectrum of Riemann surfaces
• The limit set of subgroups of arithmetic groups in \(\mathrm{PSL}(2,\mathbb C)^q\times\mathrm{PSL}(2,\mathbb R)^r\).
• A geometric characterization of arithmetic Fuchsian groups.
• Modular embeddings for some non-arithmetic Fuchsian groups
• Semi-Arithmetic Fuchsian Groups and Modular Embeddings

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