An arithmetic characterization of the parabolic points of G(2cos π/5)
Glasgow mathematical journal, Tome 6 (1963) no. 2, pp. 88-96

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By the group G(2 cos π/q) we mean the group of linear fractional transformations of the complex plane onto itself, generated by V(z)= — 1/z and U(z) = z+λq, where λq = 2 cos (π/q), qbeing a positive integer greater than 2. In this paper we shall be concerned only with the group given by q = 5, and we shall therefore omit the subscript 5 on the λ. We note that λ = λ5 satisfies the equationx2–x–l=0;(1)henceλ = (l + 51⁄2)/2.
Rosen, David. An arithmetic characterization of the parabolic points of G(2cos π/5). Glasgow mathematical journal, Tome 6 (1963) no. 2, pp. 88-96. doi: 10.1017/S204061850003478X
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