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Showing 1 to 5 of 5 for “"Fuchsian groups"”.
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Residually finite properties of covering spaces
… go with the negative ones. It is well known that Fuchsian groups are residually finite. Section 4 provides some topological construction of Fuchsian groups which yield a simple proof of their residual finiteness.
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The hyperboloid model of hyperbolic geometry
… After the development of the hyperboloid model, Fuchsian groups are briefly discussed and the more familiar models of Hyperbolic Geometry are further investigated"--Document.</p>
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The hyperboloid model of hyperbolic geometry
… After the development of the hyperboloid model, Fuchsian groups are briefly discussed and the more familiar models of Hyperbolic Geometry are further investigated"--Document.</p>
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Composition Sequences and Semigroups of Möbius Transformations
Motivated by the theory of Kleinian groups and by the theory of continued fractions, we study semigroups of Möbius transformations. Like Kleinian groups, semigroups have limit sets, and indeed each semigroup is equipped with two limit sets. We find that limit sets have an internal structure with …