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The Transfer Ideal under the Action of a Nonmetacyclic Group in the Modular Case

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【作者】 JIA PAN-PANNAN JI-ZHU

【Author】 JIA PAN-PAN;NAN JI-ZHU;School of Mathematics, Dalian University of Technology;

【机构】 School of Mathematics, Dalian University of Technology

【摘要】 Let Fq be a finite field of characteristic p(p≠= 2) and V4 a four-dimensional Fq-vector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials Fq[V4] under the action of a nonmetacyclic p-group P in the modular case. We prove that the height of the transfer ideal is 1 using the fixed point sets of the elements of order p in P and that the transfer ideal is a principal ideal.

【基金】 The NSF (11771176) of China
  • 【DOI】10.13447/j.1674-5647.2019.03.08
  • 【分类号】O152
  • 【下载频次】5
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