Geodesic
Free and nonfree subgroups of $PSL_2(\mathbf C)$ generated by two parabolic elements
Sbornik. Mathematics, Tome 35 (1979) no. 1, pp. 49-55 
Yu. A. Ignatov. Free and nonfree subgroups of $PSL_2(\mathbf C)$ generated by two parabolic elements. Sbornik. Mathematics, Tome 35 (1979) no. 1, pp. 49-55. http://geodesic.mathdoc.fr/item/SM_1979_35_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Free and nonfree subgroups of $PSL_2(\mathbf C)$ generated by two parabolic elements are studied. Bibliography: 10 titles.

[1] I. N. Sanov, “Svoistvo odnogo predstavleniya svobodnoi gruppy”, DAN SSSR, 57:7 (1947), 657–659 | MR | Zbl

[2] J. L. Brenner, “Quelques groups libres de matrices”, C. r. Acad. scient. Paris, 241 (1955), 1689–1691 | MR | Zbl

[3] S. T. Chang, S. A. Jennings, R. Ree, “On certain matrices which generate free groups”, Canad. J. Math., 10 (1958), 279–284 | MR | Zbl

[4] R. Ree, “On certain pairs of matrices which do not generate a free group”, Canad. Math. Bull., 4 (1961), 49–52 | MR | Zbl

[5] A. M. Macbeath, “Packing, free products and residuably finite groups”, Proc. Cambridge Phil. Soc., 59 (1963), 555–558 | DOI | MR | Zbl

[6] R. C. Lyndon, J. L. Ullman, “Groups generated by two parabolic linear fractional transformations”, Canad. J. Math., XXI:6 (1969), 1388–1403 | MR

[7] Kourovskaya tetrad, in-t matem. SO AN SSSR, Novosibirsk, 1976

[8] Yu. A. Ignatov, “Svobodnye gruppy, porozhdennye dvumya drobno-lineinymi preobrazovaniyami”, Tezisy dokladov XIII Vsesoyuznogo algebraicheskogo simpoziuma, Gomel, 1975, 121

[9] Yu. A. Ignatov, “Svobodnye gruppy, porozhdennye dvumya parabolicheskimi drobno-lineinymi preobrazovaniyami”, Sovremennaya algebra, no. 4, Leningrad, 1976, 87–90 | Zbl

[10] Yu. A. Ignatov, “Svobodnye i nesvobodnye tochki kompleksnoi ploskosti”, Tezisy dokladov (14-ya Vsesoyuznaya algebraicheskaya konferentsiya), Novosibirsk, 1977, 24–25