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arXiv · 1109.6180

Gröbner bases for the Hilbert ideal and coinvariants of the Dihedral group $D_{2p}$}

Martin Kohls·Mufit Sezer
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Abstract

We consider a finite dimensional representation of the dihedral group $D_{2p}$ over a field of characteristic two where $p$ is an odd prime and study the corresponding Hilbert ideal $I_H$. We show that $I_H$ has a universal Gr\" {o}bner 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.

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Martin Kohls, Mufit Sezer. 2011-09-28. Gröbner bases for the Hilbert ideal and coinvariants of the Dihedral group $D_{2p}$}. https://doi.org/10.1002/mana.201100316

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