Composition laws on the Fricke surface and Markov triples

Authors

ABDURRAHMAN MUHAMMED ULUDAĞ
ESRA ÜNAL YILMAZ

DOI

10.55730/1300-0098.3123

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

First Page

785

Last Page

799

Recommended Citation

ULUDAĞ, ABDURRAHMAN MUHAMMED and YILMAZ, ESRA ÜNAL (2022) "Composition laws on the Fricke surface and Markov triples," Turkish Journal of Mathematics: Vol. 46: No. 3, Article 8. https://doi.org/10.55730/1300-0098.3123
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/8