Groups with Noetherian Group Rings
In this thesis we will attempt to classify groups and rings based on whether the associated group rings are Noetherian or not. As this is still an open problem, we present the current state of research. While there are several classes of groups proven not to have Noetherian group rings, such as non-amenable and non-Noetherian groups, so far, virtually polycyclic groups are the only class for which
