{"author_url":"https://blog.hatena.ne.jp/derwind/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F25%2F011545\" title=\"Galois\u7406\u8ad6(50)\u2015\u65b9\u7a0b\u5f0f\u306e\u30ac\u30ed\u30a2\u7fa4\u3068\u5224\u5225\u5f0f - \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":"Galois\u7406\u8ad6(49)\u2015\u30ac\u30ed\u30a2\u7fa4\u306e\u8a08\u7b97\u4f8b - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u306e\u4f8b2\u3092\u632f\u308a\u8fd4\u308b\u3002 \u5b9a\u7fa9\u30921\u3064\u3002 Def (\u65b9\u7a0b\u5f0f\u306e\u30ac\u30ed\u30a2\u7fa4) $P \\in K[X]$: \u5206\u96e2\u65e2\u7d04\u591a\u9805\u5f0f\u3068\u3059\u308b\u3002$M $: $P$ \u306e\u5206\u89e3\u4f53\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001 $M/K$ \u306f\u30ac\u30ed\u30a2\u62e1\u5927\u3067\u3042\u308a\u3001 \\begin{equation} \\mathrm{Gal}(P) \\overset{\\text{def}}{=} \\mathrm{Gal}(M/K) \\end{equation}\u3092\u65b9\u7a0b\u5f0f $P(X) = 0$ \u306e\u30ac\u30ed\u30a2\u7fa4\u3068\u547c\u3076${}_\\square$$K$ \u3092\u6a19\u6570\u304c0\u306e\u4f53\u6216\u306f\u6a19\u6570\u304c2\u3067\u30823\u3067\u3082\u306a\u3044\u6709\u9650\u4f53\u306e\u4ee3\u6570\u62e1\u5927\u4f53... \u3068\u3059\u308b\u6642\u3001 $P$ \u2026","height":"190","url":"https://randommemory.hatenablog.com/entry/2016/09/25/011545","author_name":"derwind","categories":["math-alg"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","version":"1.0","published":"2016-09-25 01:15:45","blog_url":"https://randommemory.hatenablog.com/","title":"Galois\u7406\u8ad6(50)\u2015\u65b9\u7a0b\u5f0f\u306e\u30ac\u30ed\u30a2\u7fa4\u3068\u5224\u5225\u5f0f","type":"rich","width":"100%","provider_url":"https://hatena.blog","image_url":null,"provider_name":"Hatena Blog"}