The structure of two-parabolic space: parabolic dust and iteration
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Publication:2481646
DOI10.1007/s10711-007-9215-zzbMath1149.30034arXivmath/0701385OpenAlexW2593068828MaRDI QIDQ2481646
Publication date: 14 April 2008
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701385
Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)
Related Items (7)
A sequence of algebraic integer relation numbers which converges to 4 ⋮ On the parametrized modular group ⋮ New sequences of non-free rational points ⋮ Analytic families of homomorphisms into \(\mathrm{PSL}(2,\mathbb{C})\) ⋮ Classification of non-free Kleinian groups generated by two parabolic transformations ⋮ Nondiscrete parabolic characters of the free group F2: supergroup density and Nielsen classes in the complement of the Riley slice ⋮ Non-freeness of groups generated by two parabolic elements with small rational parameters
Cites Work
- An example of a nonclassical Schottky group
- On the bass note of a Schottky group
- Hausdorff dimension and Kleinian groups
- Classical two-parabolic \(t \)-Schottky groups
- Non-Free Points for Groups Generated by a Pair of 2×2 Matrices
- On Certain Pairs of Matrices which Generate free Groups
- Rigidity of Schottky sets
- On Discrete Groups of Mobius Transformations
- Two-Generator Arithmetic Kleinian Groups II
- Pell's Equation and Two Generator Free Möbius Groups
- The Riley Slice of Schottky Space
- On Certain Pairs of Matrices which do not Generate a Free Group
- Groups Generated by two Parabolic Linear Fractional Transformations
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