{"provider_url":"https://hatena.blog","version":"1.0","provider_name":"Hatena Blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F10%2F21%2F233408\" title=\"Galois\u7406\u8ad6(67)\u2015\u30ac\u30ed\u30a2\u62e1\u5927\u306b\u304a\u3051\u308b\u7dda\u578b\u7121\u95a2\u9023\u6027(3) - \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>","height":"190","width":"100%","type":"rich","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","published":"2016-10-21 23:34:08","title":"Galois\u7406\u8ad6(67)\u2015\u30ac\u30ed\u30a2\u62e1\u5927\u306b\u304a\u3051\u308b\u7dda\u578b\u7121\u95a2\u9023\u6027(3)","url":"https://randommemory.hatenablog.com/entry/2016/10/21/233408","image_url":null,"author_url":"https://blog.hatena.ne.jp/derwind/","categories":["math-alg"],"author_name":"derwind","description":"\u4ee5\u4e0b\u306e\u547d\u984c\u306f\u300c\u4f53\u3068\u30ac\u30ed\u30a2\u7406\u8ad6\u300d\u00a73.3 \u5b9a\u74063.16\u304c\u76f8\u5f53\u3059\u308b\u3002 Prop (1)$K \\subset L_1, L_2 \\subset \\bar{K}$ \u3068\u3059\u308b\u3002 $L_1/K$ \u304a\u3088\u3073 $L_2/K$ \u304c\u3068\u3082\u306b\u30ac\u30ed\u30a2\u62e1\u5927\u3067\u3042\u308a\u3001 $K$ \u4e0a\u7dda\u578b\u7121\u95a2\u9023\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001\u4ee5\u4e0b\u306f\u540c\u578b\u5199\u50cf\u3068\u306a\u308b: \\begin{array}{cccc} \\varphi: &\\mathrm{Gal}(L_1 L_2/K) & \\overset{\\sim}{\\to} & \\mathrm{Gal}(L_1/K) \\times \\mathrm{Gal}(L_2/K) \\\\ &g & \\mapsto & (g|_{L_1},\u2026","blog_url":"https://randommemory.hatenablog.com/"}