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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

MOBIUS-FROBENIUS MAPS ON IRREDUCIBLE POLYNOMIALS

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Author(s):
Brochero Martinez, F. E. [1] ; Oliveira, Daniela [1] ; Reis, Lucas [1]
Total Authors: 3
Affiliation:
[1] Univ Fed Minas Gerais, UFMG, Dept Matemat, BR-31270901 Belo Horizonte, MG - Brazil
Total Affiliations: 1
Document type: Journal article
Source: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 104, n. 1, p. 66-77, AUG 2021.
Web of Science Citations: 0
Abstract

Let n be a positive integer and let F-qn be the finite field with q(n) elements, where q is a prime power. We introduce a natural action of the projective semilinear group P L(2, q(n)) = PGL(2, q(n)) (sic) Gal( F-qn /F-q) on the set of monic irreducible polynomials over the finite field F-qn. Our main results provide information on the characterisation and number of fixed points. (AU)

FAPESP's process: 18/03038-2 - Polynomial maps in finite fields and their applications
Grantee:Lucas da Silva Reis
Support type: Scholarships in Brazil - Post-Doctorate