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Groups of units of integral group rings of Kleinian type
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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.
American Mathematical Society (AMS)
Title: Groups of units of integral group rings of Kleinian type
Description:
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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