Article PDF
Avoid common mistakes on your manuscript.
Literature Cited
N. Purzitsky, “All two-generator Fuchsian groups,” Math. Z.,147, No. 1, 87–92 (1976).
J. P. Matelski, “The classification of discrete 2-generator subgroups ofPSL(2, R) // Israel J. Math.,42, No. 4, 309–317 (1982).
A. Berdon, Geometry of Discrete Groups [Russian translation], Nauka, Moscow (1986).
I. K. Zhuk, “Regular decompositions of spaces of constant curvature in congruent tetrahedra. II,” Preprint/AN BSSR, Minsk, Inst. Mat.,15, No. 95 (1983).
B. Maskit, “On Poincaré's theorem for fundamental polygons,” Adv. Math.,7, No. 3, 219–230 (1971).
I. M. Kaplinskaya, “Discrete groups generated by reflections in the faces of simplicial prisms in Lobachevsky space,” Mat. Zametki,15, No. 1, 159–164 (1974).
E. M. Andreev, “Convex polyhedra in Lobachevsky space,” Math. Sb.,81, 445–478 (1970).
E. M. Andreev, “Finite convex polyhedra in Lobachevsky space,” Math. Sb.,83, No. 2, 256–260 (1970).
H. S. M. Coxeter, Introduction to Geometry, Wiley (1969).
H. Zieschang, E. Vogt, and H.-D. Coldewey, Surfaces and Planar Discontinuous Groups, Lecture Notes in Mathematics, Vol. 835, Springer-Verlag, Berlin-Heidelberg-New York (1980).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 1, pp. 123–128, January–February, 1989.
Rights and permissions
About this article
Cite this article
Klimenko, E.Y. Discrete groups in three-dimensional Lobachevsky space generated by two rotations. Sib Math J 30, 95–100 (1989). https://doi.org/10.1007/BF01054221
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01054221