Fuchsian group

In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded as a group of isometries of the hyperbolic… (More)
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2010
2010
We describe globally nilpotent differential operators of rank 2 defined over a number field whose monodromy group is a… (More)
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2009
2009
We exhibit an algorithm to compute a Dirichlet domain for a cofinite Fuchsian group Γ. As a consequence, we compute the… (More)
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Highly Cited
2008
Highly Cited
2008
  • Hideshi Yamane
  • 2008
We consider some classes of nonlinear wave equations by reducing them to Fuchsian equations. Singular solutions are constructed… (More)
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2008
2008
A complex hyperbolic quasi-Fuchsian group is a discrete, faithful, type preserving and geometrically finite representation of a… (More)
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2006
2006
If Γ is a finite co-area Fuchsian group acting on H, then the quotient H2/Γ is a hyperbolic 2-orbifold, with underlying space an… (More)
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1999
1999
It all started with a theorem of Miller [14]: the classical modular group PSL2Z‘ has among its homomorphic images every… (More)
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1998
1998
  • Steven P. Lalley
  • 1998
A simple numerical calculation shows that for m = 5, m (p) > 1 and m (p) > 1 for all :6615 p :6665. Since m (p) and m (p) are… (More)
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1998
1998
  • Stefan Johansson
  • 1998
Introduction. The fundamental invariant of a Riemann surface is its genus. In this paper, using arithmetical means, we calculate… (More)
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1991
Highly Cited
1991
  • David Gabai
  • 1991
A group of homeomorphisms of the circle satisfying the "convergence property" is shown to be the restriction of a discrete group… (More)
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1963
1963
  • Leon Greenberg
  • 1963
1. DEFINITIONS. Let D be the unit disk {z\ \z\ < l } and let £ be the group of conformai homeomorphisms of D. A Fuchsian group is… (More)
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