| NOUN | a modular group | modular groups |
NOUN article.ind sg | pl
21 Übersetzungen
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Anwendungsbeispiele Englisch
- Since then, the concept has been generalized, and the connections with quadratic number fields, the modular group, and other areas of mathematics have been further elucidated.
- As an example take "G" = SL(2, R), "K" = SO(2) and Γ any torsion-free congruence subgroup of the modular group SL(2, Z).
- , the mapping class group is simply the modular group [...] and the classification becomes classical in terms of elliptic, parabolic and hyperbolic matrices.
- The mapping has interesting self-similar fractal properties; these are given by the modular group, which is the subgroup of Möbius transformations having integer values in the transform.
- The automorphisms of the dyadic monoid is the modular group; the automorphisms can be pictured as hyperbolic rotations of the binary tree.
- A particularly important discrete subgroup of the Möbius group is the modular group; it is central to the theory of many fractals, modular forms, elliptic curves and Pellian equations.
- An important example of this type of group is the Picard modular group [...] which acts (projectively) on complex hyperbolic space of degree two, in the same way that [...] acts (projectively) on real hyperbolic space of dimension two.
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