Abstract
Abstract Let f and g be elliptic Möbius transformations of respective orders m≥3, n≥2, and let s, φ be the hyperbolic distance and angle between their axes. In this paper we prove that for the group 〈f,g〉 is discrete, nonelementary and isomorphic to the free product of cyclic groups. Several examples are given showing the effectiveness of the above estimate for cosh s.
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