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Subroups of $PSL(3,\Bbb{C})$ with four lines in general position in its Limit Set

Authors
  • Barrera, Waldemar
  • Cano, Angel
  • Navarrete, Juan Pablo
Type
Preprint
Publication Date
Apr 18, 2016
Submission Date
Jan 28, 2010
Source
arXiv
License
Yellow
External links

Abstract

In this article we provide an algebraic characterization of those groups of $PSL(3,\Bbb{C})$ whose limit set in the Kulkarni sense has, exactly, four lines in general position. Also we show that, for this class of groups, the equicontinuity set of the group is the largest open set where the group acts discontinuously and agrees with the discontinuity set of the group.

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