The Noether numbers for cyclic groups of prime order

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

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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