>>756
(引用開始)
然り
定理6.1　１のｎ乗根はベキ根を用いて表すことができる。
（注：ベキ根はｎ乗根ではなくｍ＜ｎであるｍ乗根）
>・くっさ
>ガロア理論を矮小化しないでください。
>オイラー研究所の所長（高瀬 正仁）に怒られますよ
高瀬正仁氏は怒るどころか全く同意するに違いない
これこそがガロア理論をもたらす最初の１歩
(引用終り)

・おっさんみたいな、ガウスを神格化してありがたがるのは、それはそれで分かるけど
・一方で、ガウスのやったことは
　現代のガロア理論から見れば、ガロア理論の一系にすぎない
　そういう視点も忘れないようにね

(参考)
https://ja.wikipedia.org/wiki/1%E3%81%AE%E5%86%AA%E6%A0%B9
1の冪根
https://en.wikipedia.org/wiki/Root_of_unity
Root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power n. Roots of unity are used in many branches of mathematics, and are especially important in number theory, the theory of group characters, and the discrete Fourier transform.

Group properties
Group of all roots of unity

Group of nth roots of unity

Galois group of the primitive nth roots of unity

Galois group of the real part of the primitive roots of unity

Algebraic expression
The nth roots of unity are, by definition, the roots of the polynomial xn − 1, and are thus algebraic numbers. As this polynomial is not irreducible (except for n = 1), the primitive nth roots of unity are roots of an irreducible polynomial (over the integers) of lower degree, called the nth cyclotomic polynomial, and often denoted Φn. The degree of Φn is given by Euler's totient function, which counts (among other things) the number of primitive nth roots of unity.[9] The roots of Φn are exactly the primitive nth roots of unity.

Galois theory can be used to show that the cyclotomic polynomials may be conveniently solved in terms of radicals.