On Noether's Degree Bound for Finite Group Schemes

2025/05/30 by Kemper, Gregor, Liedtke, Christian, Ott, Christiane · 2 citations
#13A50 #14L15 #14L24 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.24752

Abstract

This paper establishes Noether's classical degree bound β(G) ≤ |G| for finite and linearly reductive group schemes. On the other hand, we provide examples of infinitesimal group schemes where β(G) is unbounded. We also generalize Molien's formula to finite and linearly reductive group schemes.

Citations

• Notes on the combinatorial fundamentals of algebra
• Tame stacks in positive characteristic

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• An arithmetic analog of Klein's classification of finite subgroups of SL₂(ℂ)
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