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References
Abikoff, W., Some remarks on Kleinian groups, Advances in the theory of Riemann surfaces, Ann. of Math. Studies, 66(1971), 1–5.
_____, Residual limit sets of Kleinian groups, Acta Math., 130(1973), 127–144.
Ahlfors, L. V., Finitely generated Kleinian groups, Amer. J. Math., 86(1964), 413–429; 87(1965), 759.
Bers, L., Simultaneous uniformization, Bull. Amer. Math. Soc., 66(1960), 94–97.
_____, Inequalities for finitely generated Kleinian groups, J. Analyse Math., 18(1967), 23–41.
_____, On boundaries of Teichmüller spaces and on Kleinian groups I, Ann. of Math., 91(1970), 570–600.
_____, Uniformization, moduli, and Kleinian groups, Bull. London Math. Soc., 4(1972), 257–300.
Bers, L. and B. Maskit, On a class of Kleinian groups, in Contemporary Problems in the Theory of Analytic Functions, Nauka, Moscow, (1966), 44–47.
Ford, L. R., Automorphic Functions, 2nd Ed. (Chelsea, New York, 1951).
Griffiths, P. A., Complex analytic properties of certain Zariski open sets on algebraic varieties, Ann. of Math., 94(1971), 21–51.
Kra, I., Automorphic Forms and Kleinian Groups, W. A. Benjamin, Reading, Massachusetts (1972).
Maskit, B., On Klein's combination theorem I, Trans. Amer. Math. Soc., 120(1965), 499–509.
_____, On Klein's combination theorem II, Trans. Amer. Math. Soc., 131(1968), 32–39.
_____, On boundaries of Teichmüller spaces and on Kleinian groups II, Ann. of Math., 91(1970), 608–638.
Maskit, B., On Klein's combination theorem III, Advances in the theory of Riemann surfaces, Ann. of Math. Studies, 66(1971), 297–316.
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© 1974 Springer-Verlag
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Bers, L. (1974). What is a Kleinian group?. In: Bers, L., Kra, I. (eds) A Crash Course on Kleinian Groups. Lecture Notes in Mathematics, vol 400. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065672
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DOI: https://doi.org/10.1007/BFb0065672
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