Discreteness criterion in \(\mathrm{SL}(2,\mathbb{C})\) by a test map

zbMath1294.30035arXiv1005.3578MaRDI QIDQ1951955

Wensheng Cao

Publication date: 24 May 2013

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

Full work available at URL: https://arxiv.org/abs/1005.3578

zbMATH Keywords

Möbius transformationdiscrete subgroups of \(\mathrm{SL}(2,\mathbb C)\)

Mathematics Subject Classification ID

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)

Related Items (2)

Discreteness of hyperbolic isometries by test maps ⋮ TEST MAP AND DISCRETENESS IN SL(2, ℍ)

Cites Work

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• Discreteness and convergence of Möbius groups
• Test maps and discrete groups in SL\((2,C)\)
• Inequalities in Discrete Subgroups of PSL(2, R)
• On Discrete Groups of Mobius Transformations
• Discreteness of subgroups of $\mathrm{SL}(2,\boldsymbol{C})$ containing elliptic elements
• On the classification of quaternionic Möbius transformations
• JØRGENSEN’S INEQUALITY FOR QUATERNIONIC HYPERBOLIC SPACE WITH ELLIPTIC ELEMENTS
• Discrete Subgroups of the Lorentz Group.

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