Abstract
In the paper, families of faithful representations of the free product ofn (n ≥ 2) cyclic groups into the groupPSL 2(ℂ) are indicated. They are used to generalize a result of Ree and Mendelsohn. We also obtain a series of sufficient conditions under which a 2-generated subgroup 〈A, B〉 of the groupPSL 2(ℂ) is isomorphic to the free product of its cyclic subgroups 〈A〉 and 〈B〉.
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Translated fromMatematicheskie Zametki, Vol. 67, No. 6, pp. 922–930, June, 2000.
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Mateiko, O.M., Tavgen’, O.I. Free products of cyclic subgroups in the groupPSL 2(ℂ). Math Notes 67, 778–785 (2000). https://doi.org/10.1007/BF02675632
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DOI: https://doi.org/10.1007/BF02675632