On the discreteness criterion in \(SL (2, \mathbb{C})\)

DOI10.1007/s00209-006-0016-0zbMath1213.30047OpenAlexW1983162598MaRDI QIDQ970195

Shihai Yang

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1007/s00209-006-0016-0

zbMATH Keywords

Möbius groupsdiscrete groups\(\text{SL}(2,\mathbb{C})\)

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 (7)

Algebraic convergence of finitely generated Kleinian groups in all dimensions ⋮ DISCRETENESS CRITERIA FOR MÖBIUS GROUPS ACTING ON II ⋮ Test maps and discrete groups in SL\((2,C)\) ⋮ Discreteness criterion in \(\mathrm{SL}(2,\mathbb{C})\) by a test map ⋮ TEST MAPS AND DISCRETE GROUPS IN SL(2, ℂ) II ⋮ DISCRETENESS CRITERIA FOR ISOMETRIC GROUPS ACTING ON COMPLEX HYPERBOLIC SPACES ⋮ Elliptic elements in Möbius groups.

Cites Work

• Unnamed Item
• Systems of generators of subgroups of PSL(2,\({\mathbb{C}})\)
• Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups
• 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

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