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Kleinian Groups with a Control Group

  • Angel Cano
  • Juan Pablo Navarrete
  • José Seade
Chapter
Part of the Progress in Mathematics book series (PM, volume 303)

Abstract

Nowadays the literature and the knowledge about subgroups of PSL(2, \(\mathbb{C}\)) is vast. Thence, when going up into higher dimensions, a natural step is to consider Kleinian subgroups of PSL(3, \(\mathbb{C}\)) whose geometry and dynamics are “governed” by a subgroup of PSL(2, \(\mathbb{C}\)). That is the subject we address in this chapter. The corresponding subgroup in PSL(2 ,\(\mathbb{C}\)) is the control group. These groups play a significant role in the classification theorems we give in  Chapter 8.

Keywords

Discrete Subgroup Kleinian Group Riemann Sphere Elliptic Element Parabolic Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Angel Cano
    • 1
  • Juan Pablo Navarrete
    • 2
  • José Seade
    • 1
  1. 1.Instituto de MatemáticasUniversidad Nacional Autónoma de México Unidad CuernavacaCuernavacaMexico
  2. 2.Facultad de MatemáticasUniversidad Autónoma de YucatánMéridaMexico

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