On the computation of resolvents and Galois groups

DOI10.1007/BF01165834zbMath0525.12019WikidataQ56564676 ScholiaQ56564676MaRDI QIDQ594139

Kurt Girstmair

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154954

zbMATH Keywords

Galois group of polynomialGalois group of sextic equationGalois resolventsrational transformations

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Separable extensions, Galois theory (12F10)

Related Items (13)

Galois group computation for rational polynomials ⋮ Explicit Galois realization of transitive groups of degree up to 15 ⋮ Computation of Galois groups of rational polynomials ⋮ ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS ⋮ On the simplest sextic fields and related Thue equations ⋮ Construction de corps de décomposition grace aux facteurs de résolvantes ⋮ Calcul de résolvantes avec les modules de Cauchy ⋮ On the Simplest Quartic Fields and Related Thue Equations ⋮ Computing the Galois group of a polynomial over a p-adic field ⋮ Twin sextic algebras ⋮ Linear dependence of zeros of polynomials and construction of primitive elements ⋮ General formulas for solving solvable sextic equations ⋮ Specht modules and resolvents of algebraic equations

Cites Work

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• Linear dependence of zeros of polynomials and construction of primitive elements
• Polynomials with PSL(2,7) as Galois group
• Über konstruktive Methoden der Galoistheorie
• Transitivity of finite permutation groups on unordered sets
• \(k\)-homogeneous groups
• On Invariant Polynomials and Their Application in Field Theory
• Some Remarks on Computing Galois Groups
• The Determination of Galois Groups

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