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

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DC Field	Value	Language
dc.creator	Lucas da Silva Reis	pt_BR
dc.date.accessioned	2021-07-24T00:41:16Z	-
dc.date.available	2021-07-24T00:41:16Z	-
dc.date.issued	2018	-
dc.citation.volume	51	pt_BR
dc.citation.spage	218	pt_BR
dc.citation.epage	237	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.ffa.2018.01.011	pt_BR
dc.identifier.uri	http://hdl.handle.net/1843/36934	-
dc.description.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.	pt_BR
dc.description.resumo	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.	pt_BR
dc.format.mimetype	pdf	pt_BR
dc.language	eng	pt_BR
dc.publisher	Universidade Federal de Minas Gerais	pt_BR
dc.publisher.country	Brasil	pt_BR
dc.publisher.department	ICX - DEPARTAMENTO DE MATEMÁTICA	pt_BR
dc.publisher.initials	UFMG	pt_BR
dc.relation.ispartof	Finite fields and their applications	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.subject	Finite field	pt_BR
dc.subject	Polynomial ring	pt_BR
dc.subject.other	Grupos Finitos	pt_BR
dc.subject.other	Anéis polinominais	pt_BR
dc.title	A group action on multivariate polynomials over finite fields	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.url.externa	https://www.sciencedirect.com/science/article/abs/pii/S1071579718300170?via%3Dihub	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-6224-9712	pt_BR
Appears in Collections:	Artigo de Periódico

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