On the Noether number of p-groups

2016/04/07 by Kálmán Cziszter, Cziszter, Kálmán
Mathematics · #11B50 (Secondary) #13A50 (Primary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1604.01938

openalex publication_date 2016/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A group of order pⁿ (p prime) has an indecomposable polynomial invariant of degree at least p^n-1 if and only if the group has a cyclic subgroup of index at most p or it is isomorphic to one of two particular groups of small order.

Related

• Groups with large Noether bound
• The Noether number for the groups with a cyclic subgroup of index two
• The Noether number of the non-abelian group of order 3p
• The Noether numbers for cyclic groups of prime order
• Finite groups with large Noether number are almost cyclic