Geodesic
Discrete free products of two complex cyclic matrix groups
Glasgow mathematical journal, Tome 20 (1979) no. 1, pp. 69-80

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All 2-by-2 matrices in this paper are to be viewed as linear fractional transformations on the extended complex plane C*. Let L+ and L− be the open half-planes to the right and left, respectively, of the extended imaginary axis L. Let Λ be the set of complex 2-by-2 matrices A with real trace and determinant ±1 such that A(L+) ⊂L−. Let Ω = Ω1 ∪ Ω2 ∪ Ω3 ∪ Ω4, Whereand 
Evans, Ronald J. Discrete free products of two complex cyclic matrix groups. Glasgow mathematical journal, Tome 20 (1979) no. 1, pp. 69-80. doi: 10.1017/S0017089500003748
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