Groups of units of integral group rings of Kleinian type

We explore a method to obtain presentations of the group of units of an integral group ring of some finite groups by using methods on Kleinian groups. We classify the nilpotent finite groups with central commutator for which the method works and apply the method for two concrete groups of order 16.

Detalhes bibliográficos
Autores: Pita, Antonio, Río Mateos, Ángel del, Ruiz Marín, Manuel
Formato: artículo
Fecha de publicación:2005
País:España
Recursos:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/938
Acesso em linha:http://hdl.handle.net/10317/938
Access Level:acceso abierto
Palavra-chave:Grupo de Kleinian
Anillo de grupo integral
Grupos finitos
Álgebra
Economía Aplicada
Descrição
Resumo:We explore a method to obtain presentations of the group of units of an integral group ring of some finite groups by using methods on Kleinian groups. We classify the nilpotent finite groups with central commutator for which the method works and apply the method for two concrete groups of order 16.