Schottky groups cannot act on $\mathbb{P}^{2n}_{\mathbb{C}}$ as subgroups of $PSL(2n+1,\Bbb{C})$

Details Schottky groups cannot act on $\mathbb{P}^{2n}_{\mathbb{C}}$ as subgroups of $PSL(2n+1,\Bbb{C})$ Schottky groups cannot act on $\mathbb{P}^{2n}_{\mathbb{C}}$ as subgroups of $PSL(2n+1,\Bbb{C})$

2008-06-10

arxiv.org/abs/0806.1705v1

Mathematics

Dynamical Systems

9 pages. To appear in Bulletin of the Brazilian Mathematical Society. The original publication is available at http://www.spri

Scientific paper

In this paper we look at a special type of discrete subgroups of
$PSL_{n+1}(\Bbb{C})$ called Schottky groups. We develop some basic properties
of these groups and their limit set when $n > 1$, and we prove that Schottky
groups only occur in odd dimensions, {\it i.e.}, they cannot be realized as
subgroups of $PSL_{2n+1}(\Bbb{C})$.

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