The limit sets of subgroups of lattices in \(\mathrm {PSL}(2,\mathbb R)^r\)

DOI10.1007/s10711-015-0129-xzbMath1351.22007arXiv1501.02583OpenAlexW3125739194MaRDI QIDQ292051

Slavyana Geninska

Publication date: 10 June 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02583

zbMATH Keywords

limit setsinfinite covolume groupsproducts of hyperbolic planessubgroups of arithmetic groups

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (2)

Actions on products of \(\mathrm{CAT}(-1)\) spaces ⋮ On arithmetic Fuchsian groups and their characterizations.

Cites Work

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• Examples of infinite covolume subgroups of PSL\((2, \mathbb R)^r\) with big limit sets
• Asymptotic properties of linear groups
• Geometry and dynamics of discrete isometry groups of higher rank symmetric spaces
• On isomorphisms of geometrically finite Möbius groups
• On the trigonometry of symmetric spaces
• The limit set of subgroups of arithmetic groups in \(\mathrm{PSL}(2,\mathbb C)^q\times\mathrm{PSL}(2,\mathbb R)^r\).
• Modular embeddings for some non-arithmetic Fuchsian groups
• Semi-Arithmetic Fuchsian Groups and Modular Embeddings

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