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