Units and Augmentation Powers in Integral Group Rings
The augmentation powers in an integral group ring $\mathbb ZG$ induce a natural filtration of the unit group of $\mathbb ZG$ analogous to the filtration of the group $G$ given by its dimension series $\{D_n(G)\}_{n\ge 1}$. The purpose of the present article is to investigate this filtration, in part...
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| Zusammenfassung: | The augmentation powers in an integral group ring $\mathbb ZG$ induce a
natural filtration of the unit group of $\mathbb ZG$ analogous to the
filtration of the group $G$ given by its dimension series $\{D_n(G)\}_{n\ge
1}$. The purpose of the present article is to investigate this filtration, in
particular, the triviality of its intersection. |
|---|---|
| DOI: | 10.48550/arxiv.2004.01436 |