On commutators and hyperbolic groups in \(\mathrm{PSL}(2, \mathbb R )\)

DOI10.1007/s00022-013-0201-3zbMath1298.51025OpenAlexW2101433879MaRDI QIDQ742517

Raybel A. García Ancona, Antonio Lascurain Orive

Publication date: 18 September 2014

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-013-0201-3

zbMATH Keywords

hyperbolic groupscommutators\(\mathrm{PSL}(2, \mathbb R)\)

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) General structure theory for semigroups (20M10) Commutators, derivations, elementary operators, etc. (47B47) Discrete subgroups of Lie groups (22E40) Discontinuous groups and automorphic forms (11F99) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• A geometric approach to Jørgensen's inequality
• Commutators, collars and the geometry of Möbius groups
• Discontinuous groups of isometries in the hyperbolic plane. Edited by Asmus L. Schmidt
• Traces of commutators of Möbius transformations.
• On Discrete Groups of Mobius Transformations
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