@Article{CMR-35-273,
author = {Jia , Panpan and Nan , Jizhu},
title = {The Transfer Ideal under the Action of a Nonmetacyclic Group in the Modular Case},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {35},
number = {3},
pages = {273--282},
abstract = {<p style="text-align: justify;">Let $F_q$ be a finite field of characteristic $p$ $(p\neq2)$ and $V_4$ a four-dimensional $F_q$-vector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials $F_q[V_4]$ 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.&nbsp;</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2019.03.08},
url = {http://global-sci.org/intro/article_detail/cmr/13532.html}
}