Published January 1, 2012 | Version v1
Journal article Open

Grobner bases for the Hilbert ideal and coinvariants of the dihedral group D-2p

  • 1. Tech Univ Munich, Zentrum Math M11, D-85748 Garching, Germany
  • 2. Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

Description

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 Grobner 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. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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