Bivariate factorizations connecting Dickson polynomials and Galois theory

From MaRDI portal

Publication:4955714

Jump to:navigation, search

DOI10.1090/S0002-9947-00-02271-6zbMath0989.12001OpenAlexW1522840191WikidataQ114093930 ScholiaQ114093930MaRDI QIDQ4955714

Michael E. Zieve, Stephen D. Cohen, Shreeram S. Abhyankar

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02271-6

zbMATH Keywords

Galois groups isomorphisms orthogonal groups dihedral groups Dickson polynomials bivariate factorizations

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over finite fields (11T06) Coverings of curves, fundamental group (14H30)

Related Items

A new identity of Dickson polynomials ⋮ Classification of fractional projective permutations over finite fields ⋮ On \(x^{q+1}+ax+b\) ⋮ Chebyshev polynomials and Galois groups of De Moivre polynomials ⋮ An explanation for the similar appearance of two identities involving Dickson polynomials ⋮ Exceptionality of \((X+1)^n + (X -1)^n\) ⋮ Roots of certain polynomials over finite fields ⋮ Retracted: A generalization of the Schur-Siegel-Smyth trace problem ⋮ Unnamed Item ⋮ Resolution of singularities and modular Galois theory ⋮ Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\) ⋮ Solving \(X^{q+1}+X+a=0\) over finite fields ⋮ Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\) ⋮ Bivariate factorizations via Galois theory, with application to exceptional polynomials ⋮ Factoring Dickson polynomials over finite fields ⋮ Planar functions and perfect nonlinear monomials over finite fields

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:4955714&oldid=19385618"