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Bicyclic Units in some Integral Group Rings

Published online by Cambridge University Press:  20 November 2018

E. Jespers
E. Jespers*
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7
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Abstract

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A description is given of the unit group for the two groups G = D12 and G = D8 × C2. In particular, it is shown that in both cases the bicyclic units generate a torsion-free normal complement. It follows that the Bass-cyclic units together with the bicyclic units generate a subgroup of finite index in for all n ≥ 3.

Keywords

16S3416U60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 80 - 86
Copyright
Copyright © Canadian Mathematical Society 1995

References

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