Given a field and a finite group G, the Noether number of G is defined as the minimal positive integer d such that for any finite-dimensional G-module V, the algebra of G-invariant polynomial functions on V is generated by elements of degree at most d. In the talk we shall survey results (obtained mostly together with Kálmán Cziszter) on the Noether number of various finite groups.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
