それに、倉田>>4は P107で「今日ガロア分解式と呼ばれる式」と記している ならば、倉田はガロア分解式を定義しているのではなく、世間一般の呼称を紹介しているわけだ そして、前スレ508と517でも紹介したが、下記 fermatslasttheorem.blogspot.jp/2009/09/galois-memoir-lemma-2-galois-resolvent.html Fermat's Last Theorem: Galois' Memoir: Lemma 2 (Galois Resolvent) The following is taken from the translation of Galois' Memoir by Harold M. Edwards found in his book Galois Theory. The proof itself is taken from Jean-Pierre Tignol's Galois' Theory of Algebraic Equations. 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.
