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The reduction of the sextic equation to the Valentiner form-problem

✍ Scribed by Arthur B. Coble

Publisher
Springer
Year
1911
Tongue
English
Weight
632 KB
Volume
70
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

The Galois unsolvability of the sextic e
The Galois unsolvability of the sextic equation of anisotropic elasticity
✍ A. K. Head πŸ“‚ Article πŸ“… 1979 πŸ› Springer Netherlands 🌐 English βš– 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
✍ A. K. Head πŸ“‚ Article πŸ“… 1979 πŸ› Springer Netherlands 🌐 English βš– 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