{"image_url":null,"height":"190","description":"\u4ee3\u6570\u5b66\u306f\u3082\u3045\uff8f\uff81\uff9e\u7121\u7406\u3063\u3066\u304f\u3089\u3044\u96e3\u3057\u3044\u306a\u3002 Theorem $K$: \u4f53, $G$: $K^\\times$ \u306e\u6709\u9650\u90e8\u5206\u7fa4\u3002\u3053\u306e\u6642\u3001 $G$ \u306f\u5de1\u56de\u7fa4\u306b\u306a\u308b${}_\\square$\u300c\u4f53\u3068\u30ac\u30ed\u30a2\u7406\u8ad6\u300d\u7b2c2\u7ae0\u5b9a\u74062.27\u3084\u300c\u4ee3\u6570\u6982\u8ad6\u300d\u7b2cV\u7ae0\u547d\u984c6.1\u3068\u3057\u3066\u8f09\u3063\u3066\u3044\u308b\u3002 Cor1 $K \\supset \\mathbb{F}_p, \\ [K : \\mathbb{F}_p] = n$ \u3068\u3059\u308b\u3002 \u3053\u306e\u6642\u3001 $\\exists \\alpha\\ \\text{s.t.}\\ K = \\mathbb{F}_p(\\alpha)$ \u3068\u306a\u308b\u3002\u7279\u306b\u3001 $\\mathbb{F}_p$ \u4e0a\u306e $n$ \u6b21\u306e\u3042\u308b\u65e2\u7d04\u591a\u9805\u5f0f\u304c\u3068\u308c\u3066\u3001 $\u2026","type":"rich","author_url":"https://blog.hatena.ne.jp/derwind/","published":"2016-08-27 14:24:54","blog_url":"https://randommemory.hatenablog.com/","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(16)\u2015\u6709\u9650\u4f53\u518d\u8003","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F27%2F142454\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(16)\u2015\u6709\u9650\u4f53\u518d\u8003 - \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"],"author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2016/08/27/142454","provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","version":"1.0","width":"100%","provider_url":"https://hatena.blog"}