Informative Words and Discreteness

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dc.creatorGilman, Jane
dc.date2007-01-20
dc.date.accessioned2026-07-07T07:42:21Z
dc.date.available2026-07-07T07:42:21Z
dc.descriptionThere 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-manifolds and Kleinian and Fuchsian groups and in the discreteness problem for two generator matrix groups. We survey some of the families of such words and sequences: the semigroup of so called {\sl good} words of Gehring-Martin, the so called {\sl killer} words of Gabai-Meyerhoff-NThurston, the Farey words of Keen-Series and Minsky, the discreteness-algorithm Fibonacci sequences of Gilman-Jiang and {\sl parabolic dust} words. We survey connections between the families and establish a new connection between good words and Farey words.
dc.descriptionone pdf file
dc.identifierhttps://arxiv.org/abs/math/0701573
dc.identifierhttp://arxiv.org/abs/math/0701573
dc.identifierAMS Cont. Math., Volume 421, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122411
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.titleInformative Words and Discreteness
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