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

作     者：JIA PAN-PAN NAN JI-ZHU 

作者机构：School of Mathematics Dalian University of Technology 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2019年第35卷第3期

页      面：273-282页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The NSF (11771176) of China 

主　　题：invariant p-group coinvariant transfer ideal principal ideal 

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.