General formulas for solving solvable sextic equations

DOI10.1006/jabr.2000.8428zbMath0990.11067OpenAlexW2020180232MaRDI QIDQ1593803

Thomas R. Hagedorn

Publication date: 20 August 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8428

zbMATH Keywords

algorithmrootsGalois groupirreducible sextic polynomialssymmetric group \(S_6\)transitive solvable subgroup

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Special polynomials in general fields (12E10)

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Cites Work

• On the computation of resolvents and Galois groups
• Specht modules and resolvents of algebraic equations
• Solvability by radicals is in polynomial time
• \(\sqrt{2}+\sqrt{3}\): Four different views
• Solving Solvable Quintics
• The transitive groups of degree up to eleven⁺
• On Invariant Polynomials and Their Application in Field Theory
• Galois Resolvents of Permutation Groups
• Symmetric Functions, m-Sets, and Galois Groups
• Fonctions symétriques et changements de bases

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