TEST MAPS AND DISCRETE GROUPS IN SL(2, ℂ) II

DOI10.1017/S0017089513000062zbMath1302.30054OpenAlexW2115433378MaRDI QIDQ5397653

Shihai Yang, Tie-Hong Zhao

Publication date: 24 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089513000062

zbMATH Keywords

Fuchsian groupsKleinian groupselements in \(\text{PSL}(2,\mathbb{C})\)non-elementary subgroups of \(\text{PSL}(2,\mathbb{C})\)

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (3)

Discreteness of hyperbolic isometries by test maps ⋮ ON DISCRETENESS OF SUBGROUPS OF QUATERNIONIC HYPERBOLIC ISOMETRIES ⋮ TEST MAP AND DISCRETENESS IN SL(2, ℍ)

Cites Work

• On the discreteness criterion in \(SL (2, \mathbb{C})\)
• Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups
• Commutators, collars and the geometry of Möbius groups
• Discreteness and convergence of Möbius groups
• On Discrete Groups of Mobius Transformations

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