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

作　　者：JIA PAN-PAN NAN JI-ZHU 

机构地区：[1]School of Mathematics, Dalian University of Technology

出　　处：《Communications in Mathematical Research》2019年第3期273-282,共10页数学研究通讯（英文版）

基　　金：The NSF (11771176) of China

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.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.

关 键 词：INVARIANT P-GROUP coinvariant TRANSFER IDEAL principal IDEAL 

分 类 号：O1[理学—数学]