The Noether numbers for cyclic groups of prime order

2005/08/03 by P. Fleischmann, Fleischmann, P., M. Sezer +5 · 1 citation
Mathematics · #13A50 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.RT #msc:13A50

paper · pdf · doi:10.48550/arxiv.math/0508075

arxiv created 2005/08/03 · arxiv updated 2009/12/01

Abstract

The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants. We compute the Noether number for an arbitrary representation of a cyclic group of prime order, and as a consequence prove the "2p-3 conjecture".

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• Generic orbits, normal bases, and generation degree for fields of rational invariants

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