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.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universidad Politécnica de Cartagena(UPCT) |
| Repository: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/1012 |
| Online Access: | http://hdl.handle.net/10317/1012 |
| Access Level: | Open access |
| Keyword: | 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 |
| Summary: | 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. |
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