Discreteness Criteria and the Hyperbolic Geometry of Palindromes

  title={Discreteness Criteria and the Hyperbolic Geometry of Palindromes},
  author={Jane Gilman},
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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