Estimates of the number of lines lying in the limit set for subgroups of $PSL(3,\Bbb{C})$

Details Estimates of the number of lines lying in the limit set for subgroups of $PSL(3,\Bbb{C})$ Estimates of the number of lines lying in the limit set for subgroups of $PSL(3,\Bbb{C})$

2010-03-02

arxiv.org/abs/1003.0708v1

Mathematics

Dynamical Systems

Scientific paper

Given a discret subgroup $\Gamma\subset PSL(3,\C)$, we determine the number of complex lines and complex lines in general position lying in the complement of: maximal regions on which $\Gamma$ acts properly discontinuously, the Kularni's limit set of $\Gamma$ and the equicontinuity set of $\Gamma$. We also provide sufficient conditions to ensure that the equicontinuity region agrees with the Kulkarni's discontinuity region and is the largest set where the group acts properly discontinuously and we provide a description of he respective limit set in terms of the elements of the group.

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