The Noether number for the groups with a cyclic subgroup of index two

2012/05/14 by Kálmán Cziszter, Cziszter, K., M. Domokos +1 · 3 citations
Mathematics · #11B50 #13A50 #Advanced Differential Equations and Dynamical Systems #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.1205.3011

openalex publication_date 2012/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The exact degree bound for the generators of rings of polynomial invariants is determined for the finite, non-cyclic groups having a cyclic subgroup of index two. It is proved that the Noether number of these groups equals one half the order of the group plus 1 or 2.

Cited by

• Separating versus ordinary Noether numbers
• The Hurwitz problem for abelian differentials
• Generic orbits, normal bases, and generation degree for fields of rational invariants

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