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swampwiz

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https://hubpages.com/education/Abel...oduction-to-the-Sublime-Beauty-of-Mathematics

Obviously, Kronecker has produced a lot of mathematical work, and I find it hard to find his proof on this.

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- Thread starter swampwiz
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- #1

swampwiz

- 486

- 44

https://hubpages.com/education/Abel...oduction-to-the-Sublime-Beauty-of-Mathematics

Obviously, Kronecker has produced a lot of mathematical work, and I find it hard to find his proof on this.

- #2

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- #3

swampwiz

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Hi, do you have link that discusses the proof for this?

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sysprog

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Summary for Chapter 48 Solving Polynomials by Radicals:

In this chapter we prove that if a polynomial over a subfield of the complex numbers can be solved by radicals, then the Galois group of its splitting field over the base field is necessarily a solvable group. We can then easily exhibit a fifth degree polynomial over the rational numbers that cannot be solved by radicals.

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