The Transfer Ideal under the Action of the Dihedral Group $D_{2p}$ in the Modular Case |
Received:April 14, 2014 Revised:June 18, 2014 |
Key Words:
invariant transfer ideal transfer variety radical ideal
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11371343). |
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Abstract: |
In this paper, we determine the structures of the transfer ideal and its radical ideal for the ring of polynomials $F_p[x,y]$ under the action of dihedral group $D_{2p}$ in the modular case. We mainly use Transfer variety, $p$ order elements, and Hilbert's Nullstellensatz Theorem. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2015.02.002 |
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