{"type":"rich","url":"https://randommemory.hatenablog.com/entry/2016/09/23/032440","author_url":"https://blog.hatena.ne.jp/derwind/","height":"190","title":"Galois\u7406\u8ad6(47)\u2015\u30ac\u30ed\u30a2\u5bfe\u5fdc","provider_name":"Hatena Blog","version":"1.0","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","provider_url":"https://hatena.blog","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F23%2F032440\" title=\"Galois\u7406\u8ad6(47)\u2015\u30ac\u30ed\u30a2\u5bfe\u5fdc - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","description":"Theorem (Galois \u306e\u57fa\u672c\u5b9a\u7406) $L/K$: \u6709\u9650\u6b21\u30ac\u30ed\u30a2\u62e1\u5927\u3068\u3059\u308b\u3002 (1) $K \\subset F \\subset L$ $\\overset{\\text{bij}}{\\rightleftarrows}$ $H \\subset \\mathrm{Gal}(L/K)$ (2) $F/K$: \u30ac\u30ed\u30a2\u62e1\u5927 $\\iff$ $g(F) = F,\\ g \\in \\mathrm{Gal}(L/K)$ $\\iff$ $\\mathrm{Gal}(L/F) \\triangleleft \\mathrm{Gal}(L/K)$ \u3053\u306e\u6642\u3001 \\begin{align} \\varphi: \\mathrm{Ga\u2026","categories":["math-alg"],"author_name":"derwind","blog_url":"https://randommemory.hatenablog.com/","width":"100%","published":"2016-09-23 03:24:40"}