Elliptic elements in Möbius groups.

DOI10.1007/s11856-009-0074-1zbMath1180.20041OpenAlexW1984854180MaRDI QIDQ731370

Shihai Yang

Publication date: 2 October 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0074-1

zbMATH Keywords

discreteness criteriaMöbius groupselliptic elementsJørgensen inequality

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (2)

Discreteness criterion in \(\mathrm{SL}(2,\mathbb{C})\) by a test map ⋮ TEST MAP AND DISCRETENESS IN SL(2, ℍ)

Cites Work

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• Systems of generators of subgroups of PSL(2,\({\mathbb{C}})\)
• On the discreteness criterion in \(SL (2, \mathbb{C})\)
• On discrete isometry groups of negative curvature
• Discreteness criteria for Möbius groups acting on \(\overline{\mathbb R}^n\)
• Inequalities in Discrete Subgroups of PSL(2, R)
• Minimal generating systems of a subgroup of SL(2, ℂ)
• On Discrete Groups of Mobius Transformations
• Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements
• Discrete Subgroups of the Lorentz Group.

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