Lexsegment and Gotzmann ideals associated with the diagonal action of ℤ/p
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21907
Monatshefte fur Mathematik
- Research Paper 
We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We give a description of the actions for which the corresponding Hilbert ideal is Gotzmann when n = 2. Nevertheless, we show that there is a separating set of invariant monomials that generates a proper lexsegment ideal in the polynomial ring for all n. As well, we provide an algorithm to compute this set. © 2009 Springer-Verlag.