Construction of units in integral group rings of finite nilpotent groups
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- by Jürgen Ritter and Sudarshan K. Sehgal PDF
- Trans. Amer. Math. Soc. 324 (1991), 603-621 Request permission
Abstract:
Let $U$ be the group of units of the integral group ring of a finite group $G$. We give a set of generators of a subgroup $B$ of $U$. This subgroup is of finite index in $U$ if $G$ is an odd nilpotent group. We also give an example of a $2$-group such that $B$ is of infinite index in $U$.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 324 (1991), 603-621
- MSC: Primary 20C05; Secondary 16S34, 16U60
- DOI: https://doi.org/10.1090/S0002-9947-1991-0987166-9
- MathSciNet review: 987166