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Abstract The augmentation powers in an integral group ring ℤG{\mathbb{Z}G} induce a natural filtration of the unit group of ℤG{\mathbb{Z}G} analogous to the filtration of the group G given by… Click to show full abstract
Abstract The augmentation powers in an integral group ring ℤG{\mathbb{Z}G} induce a natural filtration of the unit group of ℤG{\mathbb{Z}G} analogous to the filtration of the group G given by its dimension series {Dn(G)}n≥1{\{D_{n}(G)\}_{n\geq 1}}. The purpose of the present article is to investigate this filtration, in particular, the triviality of its intersection.
Keywords:
units augmentation;
powers integral;
group;
integral group;
augmentation powers
Journal Title: Journal of Group Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Group Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!