Groups of units of integral group rings of Kleinian type
Knowledge Area
Economía AplicadaSponsors
D.G.I. of Spain and Fundación Séneca of Murcia. AMS classification index: Primary 16U60, Secondary 11R27, 16A26.Publication date
2005Publisher
American Mathematical Society ( AMS )Bibliographic Citation
PITA, Antonio, RÍO, Ángel del, RUIZ, Manuel. Groups of units of integral group rings of Kleinian type. Transactions of the American Mathematical Society, 357 (8): 3215-3237. 2005. ISSN 0002-9947Keywords
Grupo de KleinianAnillo de grupo integral
Grupos finitos
Álgebra
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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