Groups with large Noether bound

Abstract

The finite groups having an indecomposable polynomial invariant whose degree is at least half of the order of the group are classified. Apart from four sporadic exceptions these are exactly the groups having a cyclic subgroup of index at most two.

arXiv commentMajor revision: paper completely rewritten, results extended, title modified. Parts of the material moved to another preprint entitled "The Noether number for the groups with a cyclic subgroup of index two". To appear at Annales de l'Institut Fourier

Cited by in corpus (1)

• The Noether number of the non-abelian group of order 3p