Units and augmentation powers in integral group rings
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Group Theory"
DOI: 10.1515/jgth-2020-0050
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}}.… read more here.
Keywords: units augmentation; powers integral; group; integral group ... See more keywords
Global and local properties of finite groups with only finitely many central units in their integral group ring
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Group Theory"
DOI: 10.1515/jgth-2020-0165
Abstract: Abstract The aim of this article is to explore global and local properties of finite groups whose integral group rings have only trivial central units, so-called cut groups. For such a group, we study actions… read more here.
Keywords: finite groups; local properties; group; integral group ... See more keywords