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The Sextic Polynomial of Crystal Elasticity

โœ Scribed by A. K. Head

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
443 KB
Volume
132
Category
Article
ISSN
0370-1972

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๐Ÿ“œ SIMILAR VOLUMES

The Galois unsolvability of the sextic e
The Galois unsolvability of the sextic equation of anisotropic elasticity
โœ A. K. Head ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 626 KB

By an approximate numerical application of Galois theory it is proved that the sextic equation of anisotropic elasticity for cubic symmetry is in general unsolvable in radicals, elementary transcendental functions, or elliptic modular functions and that its group is the full symmetric group. This im

The monodromic Galois groups of the sext
The monodromic Galois groups of the sextic equation of anisotropic elasticity
โœ A. K. Head ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 228 KB

It has previously been shown that the conventional algebraic Galois group of the sextic equation of anisotropic elasticity for cubic crystals is the symmetric group and the equation is therefore algebraically unsolvable in radicals. As an equation with four parameters it has also 15 monodromic Galoi