Two-Generator Discrete Subgoups of $PSL(2, R)$

Released on by Jane Gilman
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  • Two-Generator Discrete Subgoups of $PSL(2, R)$ Book Detail

  • Author : Jane Gilman
  • Release Date : 1995
  • Publisher : American Mathematical Soc.
  • Genre : Gardening
  • Pages : 221
  • ISBN 13 : 0821803611
  • File Size : 92,92 MB
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Two-Generator Discrete Subgoups of $PSL(2, R)$ by Jane Gilman PDF Summary

Book Description: The discreteness problem is the problem of determining whether or not a two-generator subgroup of $PSL(2, R)$ is discrete. Historically, papers on this old and subtle problem have been known for their errors and omissions. This book presents the first complete geometric solution to the discreteness problem by building upon cases previously presented by Gilman and Maskit and by developing a theory of triangle group shinglings/tilings of the hyperbolic plane and a theory explaining why the solution must take the form of an algorithm. This work is a thoroughly readable exposition that captures the beauty of the interplay between the algebra and the geometry of the solution.

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Symmetry Breaking for Compact Lie Groups

Symmetry Breaking for Compact Lie Groups

File Size : 4,4 MB
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This work comprises a general study of symmetry breaking for compact Lie groups in the context of equivariant bifurcation theory. We begin by extending the theo