Siberian Mathematical Journal

, Volume 30, Issue 1, pp 95–100 | Cite as

Discrete groups in three-dimensional Lobachevsky space generated by two rotations

  • E. Ya. Klimenko


Discrete Group Lobachevsky Space 
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Literature Cited

  1. 1.
    N. Purzitsky, “All two-generator Fuchsian groups,” Math. Z.,147, No. 1, 87–92 (1976).Google Scholar
  2. 2.
    J. P. Matelski, “The classification of discrete 2-generator subgroups ofPSL(2, R) // Israel J. Math.,42, No. 4, 309–317 (1982).Google Scholar
  3. 3.
    A. Berdon, Geometry of Discrete Groups [Russian translation], Nauka, Moscow (1986).Google Scholar
  4. 4.
    I. K. Zhuk, “Regular decompositions of spaces of constant curvature in congruent tetrahedra. II,” Preprint/AN BSSR, Minsk, Inst. Mat.,15, No. 95 (1983).Google Scholar
  5. 5.
    B. Maskit, “On Poincaré's theorem for fundamental polygons,” Adv. Math.,7, No. 3, 219–230 (1971).Google Scholar
  6. 6.
    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).Google Scholar
  7. 7.
    E. M. Andreev, “Convex polyhedra in Lobachevsky space,” Math. Sb.,81, 445–478 (1970).Google Scholar
  8. 8.
    E. M. Andreev, “Finite convex polyhedra in Lobachevsky space,” Math. Sb.,83, No. 2, 256–260 (1970).Google Scholar
  9. 9.
    H. S. M. Coxeter, Introduction to Geometry, Wiley (1969).Google Scholar
  10. 10.
    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).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • E. Ya. Klimenko

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