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Explicit Galois resolvents for sextic equations (1987)

Hurley, A. C. ; Head, A. K.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 31 (1987), S. 345-359

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: Several techniques for calculating the Galois resolvents of polynomial equations are discussed and implemented. In particular, the method of power sums, in conjunction with the symbolic algebra program muMATH, is used to derive a complete set of explicit algebraic resolvents for the general sextic equation. A simple example, drawn from the theory of crystal elasticity, illustrates the utility of these results in answering the question “When is a polynomial equation (with multinomial coefficients) solvable?”.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/qua.560310306

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