论文标题
整体组戒指中的单位和增强功能
Units and Augmentation Powers in Integral Group Rings
论文作者
论文摘要
整体组环$ \ mathbb zg $中的增强功能诱导了$ \ mathbb Zg zg $的自然过滤，类似于其尺寸$ \ \ {d_n（g）\} _ {n \ ge 1} $的$ g $的过滤。本文的目的是研究这种过滤的交叉点的微不足道。
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.
