The Noether numbers for cyclic groups of prime order
  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". 
P. Fleischmann, M. Sezer, R.J. Shank and C.F. Woodcock