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  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11371343).
Author NameAffiliation
Jizhu NAN School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Lingli ZENG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Kai ZHANG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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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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