Composition laws on the Fricke surface and Markov triples

Authors: ABDURRAHMAN MUHAMMED ULUDAĞ, ESRA ÜNAL YILMAZ

Abstract: We determine some composition laws related to the Fricke surface and the "double" Fricke surface. This latter surface admits the squares of Markov triples as its solutions.

Keywords: Fricke surface, Markov equation, Markov triples, group law on quadrics, Frobenius conjecture

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