Gröbner bases for the Hilbert ideal and coinvariants of the dihedral group D 2p
1974 - 1980
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21280
We consider a finite dimensional representation of the dihedral group D 2p over a field of characteristic two where p is an odd integer and study the corresponding Hilbert ideal I H. We show that I H has a universal Gröbner basis consisting of invariants and monomials only. We provide sharp bounds for the degree of an element in this basis and in a minimal generating set for I H. We also compute the top degree of coinvariants when p is prime. © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.