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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| creator | Maheshwary, Sugandha Passi, Inder Bir S |
| description | 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_str_mv | 10.48550/arxiv.2004.01436 |
| format | Article |
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natural filtration of the unit group of $\mathbb ZG$ analogous to the
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natural filtration of the unit group of $\mathbb ZG$ analogous to the
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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.</abstract><doi>10.48550/arxiv.2004.01436</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Rings and Algebras |
| title | Units and Augmentation Powers in Integral Group Rings |
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