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- Publisher
- Springer Journals
- Copyright
- Copyright © 2014 by Sociedade Brasileira de Matemática
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-014-0039-9
- Publisher site
- See Article on Publisher Site
Abstract
Pappus’ theorem is used to produce and study discrete subgroups of PSL(3, ℂ) with very rich dynamics. We get an example of a subgroup of PSL(3, ℂ) which is not conjugate to any subgroup of PU(2, 1) nor to any subgroup of Aff(ℂ2), its Kulkarni region of discontinuity is non-empty and its complement, the Kulkarni limit set, contains infinitely many complex projective lines in general position. This construction is based on a representation of the group SL(2, ℤ) in the projective group PSL(3, ℂ).
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Apr 8, 2014