{"height":"190","url":"https://randommemory.hatenablog.com/entry/2016/10/23/121956","author_name":"derwind","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F10%2F23%2F121956\" title=\"Galois\u7406\u8ad6(72) - \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>","image_url":null,"blog_url":"https://randommemory.hatenablog.com/","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","title":"Galois\u7406\u8ad6(72)","width":"100%","published":"2016-10-23 12:19:56","version":"1.0","categories":["math-alg"],"type":"rich","provider_name":"Hatena Blog","description":"Prop (1)$G$: \u53ef\u89e3\u7fa4, $H \\subset G$: \u90e8\u5206\u7fa4 $\\Rightarrow$ $H$: \u53ef\u89e3\u7fa4 (2)$G$: \u53ef\u89e3\u7fa4, $H \\triangleleft G$ $\\Rightarrow$ $G/H$: \u53ef\u89e3\u7fa4 proof (1)$G = G_0 \\supset G_1 \\supset \\cdots \\supset G_{r-1} \\supset G_r = \\{e\\}$ \u3092\u30d5\u30a3\u30eb\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u3059\u308b\u3002 \u3053\u306e\u6642\u3001 $\\{G_i \\cap H\\}$ \u304c $H$ \u306e\u30d5\u30a3\u30eb\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u4e0e\u3048\u308b\u3002 $G_i \\cap H$ \u304c $G$ \u306e\u90e8\u5206\u7fa4\u3067\u3042\u308b\u306e\u306f\u660e\u3089\u304b\u3067\u3042\u308b\u3002 $g \\i\u2026","provider_url":"https://hatena.blog"}