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This question is studied by Ohshika and Potyagailo (here is a link to the lucid, as usual, mathreview by McCullough.) A more definitive result is due to T. Delzant and L. Potyagailo (which has nice references, too).
This question is studied by Ohshika and Potyagailo (here is a link to the lucid, as usual, mathreview by McCullough.) A more definitive result is due to T. Delzant (which has nice references, too).