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

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dc.creatorCano, Angel
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:43:37Z
dc.date.available2026-07-07T09:43:37Z
dc.descriptionIn 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 $PSL_{2n+1}(\Bbb{C})$.
dc.description9 pages. To appear in Bulletin of the Brazilian Mathematical Society. The original publication is available at http://www.springerlink.com
dc.identifierhttps://arxiv.org/abs/0806.1705
dc.identifierhttp://arxiv.org/abs/0806.1705
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162628
dc.subjectDynamical Systems
dc.subject37F99
dc.titleSchottky groups cannot act on $\mathbb{P}^{2n}_{\mathbb{C}}$ as subgroups of $PSL(2n+1,\Bbb{C})$
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