Publicado

2015-07-01

Free subgroups of the parametrized modular group

Palabras clave:

Parametrized modular group, free subgroups, Bianchi groups, Picard group, discrete relativity theory (en)

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Autores/as

  • Christian Pommerenke Technische Universität Berlin
  • Margarita Toro Universidad Nacional de Colombia

We study free subgroups of index four of the parametrized modular group Π, the subgroup of SL(2; Z[ξ]) generated by (10 ξ1) and (01 -10). There are eight free subgroups, four of which are normal and four are non-normal. Then we study the intersections of the normal subgroups. We give canonical presentations in terms of generators and relations. At the end of the paper we study connections between and the Bianchi groups, the two-parabolic group and a group from relativity theory.

Licencia

Derechos de autor 2015 Revista Colombiana de Matemáticas

Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.