Units and Augmentation Powers in Integral Group Rings

preprint2020arXivOpen access

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.

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Units and Augmentation Powers in Integral Group Rings

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