On invariant ideals in group rings of torsion-free minimax nilpotent groups

A.V. Tushev

doi:10.15421/242315

On invariant ideals in group rings of torsion-free minimax nilpotent groups

A.V. Tushev (Justus Liebig University Giessen), https://orcid.org/0000-0001-5219-1986

Abstract

Let $$$k$$$ be a field and let $$$N$$$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $$$G$$$ of finite rank. In the presented paper we study properties of some types of $$$G$$$-invariant ideals of the group ring $$$kN$$$.

Keywords

nilpotent groups; minimax groups; group rings; invariant ideals

MSC 2020

16S34; 20C07; 11R27

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References

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