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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Groups of units of integral group rings of Kleinian type


Authors: Antonio Pita, Ángel del Río and Manuel Ruiz
Journal: Trans. Amer. Math. Soc. 357 (2005), 3215-3237
MSC (2000): Primary 16U60; Secondary 11R27, 16S34, 20C05
Published electronically: October 7, 2004
MathSciNet review: 2135743
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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: http://dx.doi.org/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
Published electronically: October 7, 2004
Additional Notes: This work was partially supported by D.G.I. of Spain and Fundación Séneca of Murcia
Article copyright: © Copyright 2004 American Mathematical Society