4 citations · 9 across the 9 of their papers we have counts for
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Discreteness Criteria and the Hyperbolic Geometry of Palindroms
Jane Gilman, Linda Keen
We consider non-elementary representations of two generator free groups in , not necessarily discrete or free, . A word in and , , i…
Informative Words and Discreteness
Jane Gilman
There are certain families of words and word sequences (words in the generators of a two-generator group) that arise frequently in the Teichm{ü}ller theory of hyperbolic three-mani…
Classical Two-parabolic T-Schottky groups
Jane Gilman, Peter Waterman
A -Schottky group is a discrete group of Möbius transformations whose generators identify pairs of, possibly-tangent, Jordan curves on the complex sphere, ${\hat{\IC}}$. If the…
The Structure of Two-parabolic Space: Parabolic Dust and Iteration
Jane Gilman
A non-elementary Möbius group generated by two-parabolics is determined up to conjugation by one complex parameter and the parameter space has been extensively studied. In this pap…
Prime Order Automorphisms of Riemann Surfaces
Jane Gilman
Recently there has been renewed interest in the mapping-class group of a compact surface of genus and also in its finite order elements. A finite order element of the map…
Canonical Symplectic Representations for Prime Order Conjugacy Classes of the Mapping-class Group
Jane Gilman
In this paper we find a unique normal form for the symplectic matrix representation of the conjugacy class of a prime order element of the mapping-class group. We find a set of gen…