The Markov spectra for Fuchsian groups

Vulakh, L.

doi:10.1090/S0002-9947-00-02455-7

The Markov spectra for Fuchsian groups
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by L. Ya. Vulakh

Trans. Amer. Math. Soc. 352 (2000), 4067-4094

DOI: https://doi.org/10.1090/S0002-9947-00-02455-7

Published electronically: April 17, 2000

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Abstract:

Applying the Klein model $D^2$ of the hyperbolic plane and identifying the geodesics in $D^2$ with their poles in the projective plane, the author develops a method of determining infinite binary trees in the Markov spectrum for a Fuchsian group. The method is applied to a maximal group commensurable with the modular group and other Fuchsian groups.

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