Free subgroups of the parametrized modular group

dc.creatorPommerenke, Christian
dc.creatorToro, Margarita
dc.date.accessioned2019-07-03T02:10:19Z
dc.date.available2019-07-03T02:10:19Z
dc.date.created2019-07-03T02:10:19Z
dc.date.issued2015-07-01
dc.identifierISSN: 2357-4100
dc.identifierhttps://repositorio.unal.edu.co/handle/unal/66461
dc.identifierhttp://bdigital.unal.edu.co/67489/
dc.description.abstractWe 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.
dc.languagespa
dc.publisherUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
dc.relationUniversidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
dc.relationRevista Colombiana de Matemáticas
dc.relationPommerenke, Christian and Toro, Margarita (2015) Free subgroups of the parametrized modular group. Revista Colombiana de Matemáticas, 49 (2). pp. 269-279. ISSN 2357-4100
dc.relationhttps://revistas.unal.edu.co/index.php/recolma/article/view/60445
dc.rightsAtribución-NoComercial 4.0 Internacional
dc.rightshttp://creativecommons.org/licenses/by-nc/4.0/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.titleFree subgroups of the parametrized modular group
dc.typeArtículo de revista


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