Discreteness Criteria and the Hyperbolic Geometry of Palindromes

@inproceedings{Gilman2008DiscretenessCA,
  title={Discreteness Criteria and the Hyperbolic Geometry of Palindromes},
  author={Jane Gilman},
  year={2008}
}
We consider non-elementary representations of two generator free groups in PSL(2, C), not necessarily discrete or free, G = 〈A, B〉. A word in A and B, W (A, B), is a palindrome if it reads the same forwards and backwards. A word in a free group is primitive if it is part of a minimal generating set. Primitive elements of the free group on two generators can be identified with the positive rational numbers. We study the geometry of palindromes and the action of G in H3 whether or not G is… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 10 references

Hyperelliptic Handlebodies Geom

Gilman, Jane, Keen, Linda, Two generator Discrete Groups
Dedicata, Volume 110 (no. 1), (2005), 159-190. MR2136025
View 4 Excerpts
Highly Influenced

Elementary Geometry in Hyperbolic Space, deGruyter

Fenchel, Werner
1989
View 3 Excerpts
Highly Influenced

Hyperbolic manifolds and Discrete Groups, Birkhauser

Kapovich, Michael
2001
View 1 Excerpt

Pleating Coordinates for the Maskit Embedding of Teichmüller space for a punctured

Keen, Linda, Series, Caroline
torus, Topology, • 1993
View 1 Excerpt

Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces

D.B.A. Epstein, A. Marden
Analytical and Geometric Aspects of Hyperbolic Space, LMS Lecture Notes • 1987
View 2 Excerpts

Notes on notes of Thurston

R. D. Canary, D.B.A. Epstein, P. Green
Analytical and Geometric Aspects of Hyperbolic Space, LMS Lecture Notes 111, • 1987

The Geometry of Discrete Groups, Springer-Verlag

Beardon, Alan
1983
View 2 Excerpts

The Geometry and Topology of Three Manifolds, lecture notes, Princeton Univ., Princeton, N.J

Thurston, P William
Linda.keen@lehman.cuny.edu • 1979
View 1 Excerpt

A proof of Selberg’s hypothesis

D. A. Kazdan, G. A. Margulis
(Russian) Mat. Sb. (N.S.) • 1968
View 1 Excerpt

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