Groups with large Noether bound
Kálmán Cziszter, Mátyás Domokos (2014)
Annales de l’institut Fourier
Similarity:
The finite groups having an indecomposable polynomial invariant of degree at least half the order of the group are classified. It turns out that –apart from four sporadic exceptions– these are exactly the groups with a cyclic subgroup of index at most two.