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