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math.CV2005
Planar families of discrete groups
Jane Gilman, Linda Keen
Determining the space of free discrete two generator groups of Möbius transformations is an old and difficult problem. In this paper we show how to construct large balls of full di…
math.CV2005
The Geometry of Two Generator Groups: Hyperelliptic Handlebodies
Jane Gilman, Linda Keen
For two generator free Fuchsian groups, the quotient three manifold is a genus two solid handlebody and its boundary is a hyperelliptic Riemann surface. The convex core is also a h…