Groups of units of integral group rings of Kleinian type

Pita, Antonio; del Río, Ángel; Ruiz, Manuel

doi:10.1090/S0002-9947-04-03574-3

Groups of units of integral group rings of Kleinian type
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by Antonio Pita, Ángel del Río and Manuel Ruiz PDF

Trans. Amer. Math. Soc. 357 (2005), 3215-3237 Request permission

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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