Free groups and subgroups of finite index in the unit group of an integral group ring

In this article we construct free groups and subgroups of finite index in the unit group of the integral group ring of a finite non-abelian group G for which every non-linear irreducible complex representation is of degree 2 and with commutator subgroup G0 a central elementary abelian 2-group.

Detalles Bibliográficos
Autores: Dooms, Ann, Jespers, Eric, Ruiz Marín, Manuel
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/1012
Acceso en línea:http://hdl.handle.net/10317/1012
Access Level:acceso abierto
Palabra clave:Subgrupo de indice libre y finito
Anillo de grupo integral
Unidad de grupo
Free and finite index subgroups
Integral group ring
Unit group
Economía Aplicada
Descripción
Sumario:In this article we construct free groups and subgroups of finite index in the unit group of the integral group ring of a finite non-abelian group G for which every non-linear irreducible complex representation is of degree 2 and with commutator subgroup G0 a central elementary abelian 2-group.