Faculty mentor: Anurag K. Singh
A Noetherian ring of characteristic 0 will have will have a Noetherian invariant ring under a finite group action. However, this is not true in other cases. We constructed a class of rings of characteristic p for each prime integer p such that each ring in the class is Noetherian with a finite group G acting on it such that the ring of invariants under this group action is not Noetherian. This class of rings is generalized from a characteristic 2 counterexample due to Nagarajan, in 1968.
Watch my research presentation below.
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