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References
J.W.S. Cassels, "The Markov chain," Ann. of Math. 50 (1949), 676–685.
H. Cohn, "Representation of Markoff's binary quadratic forms by geodesics on a perforated torus," Acta. Arith. 18 (1971), 125–136.
H. Cohn, "Markoff forms and primitive words," Math. Ann. 196 (1972), 8–22.
H. Cohn, "Some direct limits of primitive homotopy words and of Markoff geodesics," Conf. Disc. Groups and Riemann Surf., Annals of Math. Studies 79, Princeton (1974), 81–98.
H. Cohn, "Minimal geodesics on Fricke's torus-covering," in Riemann Surfaces and Related Topics, Proc. 1978 Stony Brook Conference, Princeton (1980), 73–85.
L.E. Dickson, Studies in the theory of numbers, Chicago (1930), 79–107.
R. Fricke, "Über die Theorie der automorphen Modulgruppen," Gott. Nach. (1896), 91–101.
E. Hecke, "Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung," Math. Ann. 112 (1936), 664–699.
F. Kirchheimer and J. Wolfart, "Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen," J. reine angew. Math. 315 (1980), 139–173.
F. Klein and R. Fricke, Vorlesungen uber die Theorie der Elliptischen Modulfunktionen, Leipzig (1890).
A.A. Markoff, "Sur les formes binaires indéfinies, I," Math. Ann. 15 (1879), 391–409; II, Math. Ann. 17 (1890), 379–400.
A.L. Schmidt, "Minimum of quadratic forms with respect to Fuchsian groups, I," J. reine angev. Math. 286/287 (1976), 341–348.
H. Zieschang, E. Vogt, and H.D. Coldewey, "Flächen und ebene diskontinuerliche Gruppen," Lecture Notes 122, Springer Verlag, Berlin and New York (1970).
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Cohn, H. (1983). Remarks on the cyclotomic Fricke groups. In: Gallo, D.M., Porter, R.M. (eds) Kleinian Groups and Related Topics. Lecture Notes in Mathematics, vol 971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067069
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DOI: https://doi.org/10.1007/BFb0067069
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