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Schottky groups can not act on P 2n C as subgroups of PSL 2n+1(C)

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Abstract

In this paper we look at a special type of discrete subgroups of PSL n+1(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, i.e., they cannot be realized as subgroups of PSL 2n+1(C).

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Authors and Affiliations

  1. IMATE, Unidad Cuernavaca, UNAM, Avenida Universidad s/n Colonia Lomas de Chamilpa, Cuernavaca, Morelos, México

    Angel Cano

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  1. Angel Cano
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Correspondence to Angel Cano.

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Cano, A. Schottky groups can not act on P 2n C as subgroups of PSL 2n+1(C). Bull Braz Math Soc, New Series 39, 573–586 (2008). https://doi.org/10.1007/s00574-008-0005-5

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  • DOI: https://doi.org/10.1007/s00574-008-0005-5

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