Mathematics Tripos Papers

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3.I.3F

Geometry and Groups | Part II, 2006

Let GGG be a discrete subgroup of the Möbius group. Define the limit set of GGG in S2S^{2}S2. If GGG contains two loxodromic elements whose fixed point sets in S2S^{2}S2 are different, show that the limit set of GGG contains no isolated points.

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