Nowadays the literature and the knowledge about subgroups of PSL(2, ℂ) is vast. Thence, when going up into higher dimensions, a natural step is to consider Kleinian subgroups of PSL(3, ℂ) whose geometry and dynamics are “governed” by a subgroup of PSL(2, ℂ). That is the subject we address in this chapter. The corresponding subgroup in PSL(2, ℂ) is the control group. These groups play a significant role in the classification theorems we give in Chapter 8.
CITATION STYLE
Cano, A., Navarrete, J. P., & Seade, J. (2013). Kleinian groups with a control group. In Progress in Mathematics (Vol. 303, pp. 119–136). Springer Basel. https://doi.org/10.1007/978-3-0348-0481-3_5
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