{"height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F25%2F134847\" title=\"Galois\u7406\u8ad6(51)\u2015\u30b1\u30fc\u30b92\u306e\u5177\u4f53\u4f8b - \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>","categories":["math-alg"],"version":"1.0","blog_url":"https://randommemory.hatenablog.com/","author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2016/09/25/134847","published":"2016-09-25 13:48:47","type":"rich","description":"Galois\u7406\u8ad6(50)\u2015\u65b9\u7a0b\u5f0f\u306e\u30ac\u30ed\u30a2\u7fa4\u3068\u5224\u5225\u5f0f - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u5927\u5206\u62bd\u8c61\u7684\u306b\u89e3\u6790\u304c\u9032\u3093\u3060\u306e\u3067\u5177\u4f53\u4f8b\u3092\u898b\u3066\u307f\u3088\u3046\u3002$K=\\Q$ \u3068\u3057\u3001\u305d\u306e\u4e0a\u306e3\u6b21\u306e\u5206\u96e2\u65e2\u7d04\u591a\u9805\u5f0f\u3092 $P(X)=X^3-2$ \u3068\u3059\u308b\u3002 $\\omega = \\exp(2\\pi i/3)$ \u3068\u7f6e\u304f\u3068\u304d\u3001 $P$ \u306e\u6839\u306f $\\sqrt[3]{2},\\sqrt[3]{2}\\,\\omega,\\sqrt[3]{2}\\,\\omega^2$ \u3067\u3042\u308b\u3002 $P$ \u306e\u5206\u89e3\u4f53\u306f $M=\\Q(\\sqrt[3]{2},\\omega)$ \u3067\u3042\u308b\u306e\u3067\u3001 $\\Q(\\sqrt[3]{2})/\\Q$ \u306f\u30ac\u30ed\u30a2\u62e1\u5927\u3067\u306f\u306a\u3044\u3002 \u5224\u5225\u5f0f\u306f $\\Delta = (\\\u2026","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","image_url":null,"width":"100%","provider_url":"https://hatena.blog","title":"Galois\u7406\u8ad6(51)\u2015\u30b1\u30fc\u30b92\u306e\u5177\u4f53\u4f8b","provider_name":"Hatena Blog"}