Year: 2019
Author: Panpan Jia, Jizhu Nan
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 273–282
Abstract
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.
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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