The following two lemmas might be encountered in a basic course in complex analysis (the first in a basic course in group theory, even). Lemma 1: Fix a field . The group of fractional linear transformations acts triple transitively on and the stabilizer of any triplet of distinct points is trivial. Lemma 2: The group [...]
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Fractional linear transformations and elliptic curves
Posted in algebraic topology, complex analysis, elliptic curves, group theory, tagged fractional linear transformations, group actions, modular forms, Riemann-Roch on March 12, 2010 | 5 Comments »
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