{"description":"\u304b\u304f\u3057\u3066\u3001 $\\mathbb{F}_5[X]$ \u306e\u65e2\u7d04\u591a\u9805\u5f0f $X^2 + 2$ \u306e\u6839 $\\sqrt{3}$ \u306f $\\mathbb{F}_5[X]$ \u306e\u4ee3\u6570\u7684\u9589\u5305 $\\bar{\\mathbb{F}}_5$ \u304b\u3089\u3068\u3063\u3066\u304f\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u76f8\u5909\u308f\u3089\u305a\u6a19\u6570\u306f5\u306a\u306e\u3067\u3001$\\mathbb{F}_5[X]$ \u3082 $\\bar{\\mathbb{F}}_5$ \u3082 $\\Q$ \u306e\u90e8\u5206\u4f53\u306b\u306f\u306a\u3089\u305a\u3001\u5f93\u3063\u3066 $\\sqrt{3}$ \u3082\u7279\u306b $\\sqrt{3} \\in \\Q$ \u3068\u3044\u3046\u308f\u3051\u3067\u306f\u306a\u3044\u3002\u306a\u304b\u3070\u62bd\u8c61\u7684\u306a $\\bar{\\mathbb{F}}_5$ \u306e\u5143 $\\alpha$ \u3067\u3042\u3063\u3066 $\\alpha^2 = 3$ \u3068\u306a\u308b\u3088\u2026","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F21%2F201214\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(14)\u2015\u6839\u306f\u533a\u5225\u3067\u304d\u308b\u304b\uff1f - \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>","published":"2016-08-21 20:12:14","width":"100%","provider_name":"Hatena Blog","url":"https://randommemory.hatenablog.com/entry/2016/08/21/201214","provider_url":"https://hatena.blog","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(14)\u2015\u6839\u306f\u533a\u5225\u3067\u304d\u308b\u304b\uff1f","blog_url":"https://randommemory.hatenablog.com/","categories":["math-alg"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","type":"rich","image_url":null,"author_url":"https://blog.hatena.ne.jp/derwind/","version":"1.0","author_name":"derwind"}