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arxiv: math/0508075 · v1 · submitted 2005-08-03 · 🧮 math.AC · math.RT

The Noether numbers for cyclic groups of prime order

classification 🧮 math.AC math.RT
keywords noethercyclicnumberorderprimerepresentationarbitrarycompute
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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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