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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Subgroups of $\text \textit {PSL}(3,\mathbb {C})$ with four lines in general position in its limit set
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by W. Barrera, A. Cano and J. P. Navarrete PDF
Conform. Geom. Dyn. 15 (2011), 160-176 Request permission

Abstract:

In this article we provide an algebraic characterization of the subgroups of $PSL(3,\Bbb {C})$ 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.
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Additional Information
  • W. Barrera
  • Affiliation: Facultad de Matemáticas, Universidad Autónoma de Yucatán, Anillo Periférico Norte Tablaje Cat 13615, Mérida, Yucatán, México
  • Email: bvargas@uady.mx
  • A. Cano
  • Affiliation: Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil
  • Address at time of publication: Instituto de Matemáticas (Unidad Cuernavaca), UNAM, Av. Universidad s/n Col. Lomas de Chamilpa, C.P. 62210, Cuernavaca, Morelos, México
  • Email: angel@impa.br, angel@matcuer.unam.mx
  • J. P. Navarrete
  • Affiliation: Facultad de Matemáticas, Universidad Autónoma de Yucatán, Anillo Periférico Norte Tablaje Cat 13615, Mérida, Yucatán, México
  • Email: jp.navarrete@uady.mx
  • Received by editor(s): November 25, 2010
  • Published electronically: October 11, 2011
  • Additional Notes: The second author was partially supported by grants from CNPq.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 15 (2011), 160-176
  • MSC (2010): Primary 37F30, 32Q45; Secondary 37F45, 22E40
  • DOI: https://doi.org/10.1090/S1088-4173-2011-00231-1
  • MathSciNet review: 2846306