Back المبرهنة الأساسية في نظرية غالوا Arabic Teorema fundamental de la teoría de Galois Spanish Théorème fondamental de la théorie de Galois French המשפט היסודי של תורת גלואה HE Teorema fondamentale della teoria di Galois Italian ガロア理論の基本定理 Japanese Основная теорема теории Галуа Russian ทฤษฎีบทมูลฐานของทฤษฎีกาลัว Thai Основна теорема теорії Галуа Ukrainian 伽罗瓦理论基本定理 Chinese
In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups. It was proved by Évariste Galois in his development of Galois theory.
In its most basic form, the theorem asserts that given a field extension E/F that is finite and Galois, there is a one-to-one correspondence between its intermediate fields and subgroups of its Galois group. (Intermediate fields are fields K satisfying F ⊆ K ⊆ E; they are also called subextensions of E/F.)
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