Subgroups of 𝑃𝑆𝐿(3,ℂ) with four lines in general position in its limit set-Reference-Cited by-同舟云学术

Subgroups of 𝑃𝑆𝐿(3,ℂ) with four lines in general position in its limit set

Published:2011-10-11 Issue:11 Volume:15 Page:160-176
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Barrera W.,Cano A.,Navarrete J.

Abstract

In this article we provide an algebraic characterization of the subgroups of P S L ( 3 , C ) PSL(3,\Bbb {C}) for which the maximum number of complex lines in general position contained in its limit set, according to Kulkarni, is equal to four. Also, we give an explicit description of the discontinuity region, according to Kulkarni, of such groups.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2011-15-11/S1088-4173-2011-00231-1/S1088-4173-2011-00231-1.pdf

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