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
- Conform. Geom. Dyn. 15 (2011), 160-176
- DOI: https://doi.org/10.1090/S1088-4173-2011-00231-1
- Published electronically: October 11, 2011
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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.References
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Bibliographic 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