>>506
>あんたはあの一次式をガロア分解式と呼んでるようだが
>じゃあそれの最小多項式はなんと言う？
>倉田令二郎はそれをガロア分解式と呼んでいる。

Galois resolventで検索をかけると下記ヒット。このサイトにどれだけの権威があるか不明だが、手っ取り早い根拠として挙げておく
http://fermatslasttheorem.blogspot.jp/2009/09/galois-memoir-lemma-2-galois-resolvent.html

Definition 1: Galois Resolvent Function
For any equation f(x) with distinct roots, the Galois Resolvent Function is a function g(x1, ..., xn) of the roots that no matter how the roots are permuted on the function, no two of the values are equal.

Definition 2: Galois Resolvent
The Galois Resolvent is a value of the Galois Resolvent Function where the roots of the equation f(x) are passed in as parameters.

Lemma 2: Galois Resolvent Function Exists
Given any equation f(x) with distinct roots a,b,c,... one can always form a function V of the roots such that no two of the values one obtains by permuting the roots in this function are equal.

For example, one can take:
V = Aa + Bb + Cc + ...
A, B, C, ... being suitably chosen whole numbers.