{"published":"2016-10-22 21:12:22","blog_url":"https://randommemory.hatenablog.com/","version":"1.0","image_url":null,"provider_name":"Hatena Blog","type":"rich","title":"Galois\u7406\u8ad6(69)\u2015\u51aa\u6839\u306b\u3088\u308b\u53ef\u89e3\u6027(1)","provider_url":"https://hatena.blog","width":"100%","description":"$K$: \u6a19\u65700\u306e\u4f53\u3068\u3059\u308b\u3002 Def $E/K$: \u6709\u9650\u6b21\u62e1\u5927\u304c\u51aa\u6839\u62e1\u5927\u3067\u3042\u308b\u6216\u306f\u4ee3\u6570\u7684\u306b\u89e3\u3051\u308b*1\u3068\u306f\u3001\u3042\u308b $\\alpha_1,\\cdots,\\alpha_r$ \u304c\u3068\u308c\u3066 $E=K(\\alpha_1,\\cdots,\\alpha_r)$ \u3068\u66f8\u3051\u3001\u307e\u305f\u3042\u308b $n_i \\in \\N$ \u306b\u5bfe\u3057\u3066 $\\alpha_i^{n_i} \\in K(\\alpha_1,\\cdots,\\alpha_{i-1}),\\ 1 \\le i \\le n$ \u304c\u6210\u7acb\u3059\u308b\u6642\u3092\u8a00\u3046${}_\\square$ \u4f8b \u30fb$\\Q\\left(\\sqrt[3]{2 + 3 \\sqrt{7}}\\,\\right)$ ($K = \\Q$) \u2192 $\\\u2026","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%2F10%2F22%2F211222\" title=\"Galois\u7406\u8ad6(69)\u2015\u51aa\u6839\u306b\u3088\u308b\u53ef\u89e3\u6027(1) - \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"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","height":"190","url":"https://randommemory.hatenablog.com/entry/2016/10/22/211222","author_name":"derwind"}