Construction of units in integral group rings of finite nilpotent groups

Ritter, Jürgen; Sehgal, Sudarshan K.

doi:10.1090/S0002-9947-1991-0987166-9

Construction of units in integral group rings of finite nilpotent groups
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by Jürgen Ritter and Sudarshan K. Sehgal

Trans. Amer. Math. Soc. 324 (1991), 603-621

DOI: https://doi.org/10.1090/S0002-9947-1991-0987166-9

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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 $U$.

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