A group action on multivariate polynomials over finite fields

Lucas da Silva Reis

Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/36934

Type:	Artigo de Periódico
Title:	A group action on multivariate polynomials over finite fields
Authors:	Lucas da Silva Reis
Abstract:	Let Fq be the finite field with q elements, where q is a power of a prime p. Recently, a particular action of the group GL2(Fq) on irreducible polynomials in Fq[X] has been introduced and many questions concerning the invariant polynomials have been discussed. In this paper, we give a natural extension of this action on the polynomial ring Fq [x1,..., xn] and study the algebraic properties of the invariant elements.
Abstract:	Seja Fq o corpo finito com q elementos, onde q é a potência de um primo p. Recentemente, uma ação particular do grupo GL2 (Fq) sobre polinômios irredutíveis em Fq [X] foi introduzida e muitas questões relativas aos polinômios invariantes foram discutidas. Neste artigo, damos uma extensão natural desta ação no anel polinomial Fq [x1, ..., xn] e estudamos as propriedades algébricas dos elementos invariantes.
Subject:	Grupos Finitos Anéis polinominais
language:	eng
metadata.dc.publisher.country:	Brasil
Publisher:	Universidade Federal de Minas Gerais
Publisher Initials:	UFMG
metadata.dc.publisher.department:	ICX - DEPARTAMENTO DE MATEMÁTICA
Rights:	Acesso Aberto
metadata.dc.identifier.doi:	https://doi.org/10.1016/j.ffa.2018.01.011
URI:	http://hdl.handle.net/1843/36934
Issue Date:	2018
metadata.dc.url.externa:	https://www.sciencedirect.com/science/article/abs/pii/S1071579718300170?via%3Dihub
metadata.dc.relation.ispartof:	Finite fields and their applications
Appears in Collections:	Artigo de Periódico

Files in This Item:

File	Description	Size	Format
MAT _Reis Lucas _ A group action on multivariate polynomials over finite fields _2018.pdf		12.61 MB	Adobe PDF	View/Open

Show full item record