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Groups of units of integral group rings of Kleinian type
Author(s):
Antonio
Pita;
Ángel
del Río;
Manuel
Ruiz
Journal:
Trans. Amer. Math. Soc.
357
(2005),
3215-3237.
MSC (2000):
Primary 16U60;
Secondary 11R27, 16S34, 20C05
Posted:
October 7, 2004
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Abstract:
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.
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Additional Information:
Antonio
Pita
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain
Email:
antopita@um.es
Ángel
del Río
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain
Email:
adelrio@fcu.um.es
Manuel
Ruiz
Affiliation:
Departamento de Métodos Cuantitativos e Informáticos, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 50, 30203 Cartagena, Spain
Email:
manuel.ruiz@upct.es
DOI:
10.1090/S0002-9947-04-03574-3
PII:
S 0002-9947(04)03574-3
Received by editor(s):
July 25, 2003
Received by editor(s) in revised form:
November 17, 2003
Posted:
October 7, 2004
Additional Notes:
This work was partially supported by D.G.I. of Spain and Fundación Séneca of Murcia
Copyright of article:
Copyright
2004,
American Mathematical Society
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