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RESEARCH PRODUCT
Geometric limits of cyclic groups and the shape of Schottky space
Jouni Parkkonensubject
PhysicsGeneral MathematicsMathematical analysisBoundary (topology)Schottky diodeCyclic groupGeometrySpace (mathematics)description
We give a local estimate of the shape of Schottky space at certain boundary points. This is done by studying the geometric limits of sequences of cyclic groups and applying the results to the generators of Schottky groups. We also obtain information on discrete, non-faithful representations close to the cusps.
year | journal | country | edition | language |
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2004-07-01 | Mathematical Proceedings of the Cambridge Philosophical Society |