KLEINIAN GROUPS WITH REAL PARAMETERS

DOI10.1142/S0219199701000342zbMath0981.30030MaRDI QIDQ2732612

Jane Gilman, Frederick W. Gehring, Gaven J. Martin

Publication date: 13 March 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kleinian grouptrace parameterstwo-generator group

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (12)

ALL DISCRETE $\mathcal{RP}$ GROUPS WHOSE GENERATORS HAVE REAL TRACES ⋮ Approximations of the Riley slice ⋮ A two-dimensional slice through the parameter space of two-generator Kleinian groups ⋮ Jørgensen number and arithmeticity ⋮ On parameters and discreteness of Maskit subgroups in \(\mathrm{PSL}(2,\mathbb C)\) ⋮ Classical two-parabolic \(t \)-Schottky groups ⋮ Discreteness criteria for \(\mathcal{RP}\) groups ⋮ Jörgensen’s inequality and purely loxodromic two-generator free Kleinian groups ⋮ Random Möbius groups. I: Random subgroups of \(\operatorname{PSL}(2,\mathbb{R})\) ⋮ Random Kleinian Groups, II Two Parabolic Generators ⋮ Sufficient discreteness conditions for subgroups of \(\mathrm{PSL}(2,\mathbb C)\) generated by an involution and a nonparabolic element ⋮ Chebyshev polynomials and inequalities for Kleinian groups

Cites Work

• The classification of punctured-torus groups
• Doubly generated Fuchsian groups
• An algorithm for 2-generator Fuchsian groups
• Iteration theory and inequalities for Kleinian groups
• Stability and extremality in j⊘rgensen's inequality
• Inequalities in Discrete Subgroups of PSL(2, R)
• On Discrete Groups of Mobius Transformations
• The volume of hyperbolic 3-folds with P-torsion, P >= 6
• The Riley Slice of Schottky Space

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