The separating Noether number of the direct sum of several copies of a cyclic group

2023/11/16 by Barna Schefler, Schefler, Barna · 4 citations
Computer Science · Engineering · Mathematics · #13A50 #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Graph Labeling and Dimension Problems #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2311.09903

openalex publication_date 2023/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The exact value of the separating Noether number of some finite abelian groups is determined, including the direct sums of cyclic groups of the same order.

Cited by

• Separating versus ordinary Noether numbers
• On separating sets of polynomial invariants of finite abelian group actions
• Separating polynomial invariants over non-closed fields of finite abelian groups
• Generic orbits, normal bases, and generation degree for fields of rational invariants

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• The separating Noether number of abelian groups of rank two
• Separating versus ordinary Noether numbers
• On the separating Noether number of finite abelian groups
• The separating Noether number of small groups
• The Noether numbers for cyclic groups of prime order