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On Torsion-Free Discrete Subgroups of PSL(2, <i>C</i>) with Compact Orbit Space

On Torsion-Free Discrete Subgroups of PSL(2, <i>C</i>) with Compact Orbit Space

In 1883 Poincaré [13] recognized that the discrete subgroups of PSL(2, C) could be extended from their natural action on the complex plane to acting on hyperbolic 3-space and he attempted to analyze these groups in an analogous manner to his classical treatment of Fuchsian groups, with fundamental polyhedra playing …