Systems of generators of subgroups of PSL(2,\({\mathbb{C}})\). (English. Russian original) Zbl 0713.20045

Sib. Math. J. 31, No. 1, 162-165 (1990); translation from Sib. Mat. Zh. 31, No. 1(179), 191-193 (1990).
See the review in Zbl 0705.20048.


20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)
20F05 Generators, relations, and presentations of groups
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[1] C. Doyle, D. James, ?Discreteness criteria and high order generators for subgroups of SL(2,R),? Ill. J. Math.,25, No. 2, 191-200 (1981). · Zbl 0441.20030
[2] G. Rosenberger, ?Some remarks on a paper of C. Doyle and D. James on subgroups of SL(2,R),? Ill. J. Math.,28, No. 2, 348-351 (1984). · Zbl 0522.20030
[3] A. Beardon, Geometry of Discrete Groups [in Russian], Nauka, Moscow (1986). · Zbl 0633.30044
[4] G. Rosenberger, ?On discrete free subgroups of linear groups,? J. London Math. Soc.,17, No. 2, 79-85 (1978). · Zbl 0377.20040
[5] T. Jorgensen, ?On discrete groups of Mobius transformations,? Am. J. Math.,98, No. 3, 739-749 (1976). · Zbl 0336.30007
[6] N. A. Isachenko, ?On teh generators of subgroups of PSL(2, C),? Proceedings of All-Union Conference on GEometry ?in the large,? Novosibirsk, September, 1987, Math. Inst. Akad. Nauk SSSR, S. 54 (1987).
[7] G. Rosenberger ?Minimal generating systems of a subgroup of SL(2, R),? Proc. Edinburgh Math. Soc. Ser. II,31, 261-265 (1988). · Zbl 0645.20030
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