The Transfer Ideal under the Action of a Nonmetacyclic Group in the Modular Case
Year: 2019
Author: Panpan Jia, Jizhu Nan
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 273–282
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.03.08
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 273–282
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: invariant p-group coinvariant transfer ideal principal ideal
Author Details
Panpan Jia Email
Jizhu Nan Email