{"blog_url":"https://randommemory.hatenablog.com/","author_url":"https://blog.hatena.ne.jp/derwind/","categories":["math-alg"],"title":"Galois\u7406\u8ad6(45)\u2015\u6027\u8cea\u306e\u9023\u9396\u3068\u6b63\u898f\u62e1\u5927\u88dc\u8db3(1)","image_url":null,"author_name":"derwind","description":"\u4f53\u306e\u62e1\u5927\u306e\u969b\u306b\u304a\u3044\u3057\u3044\u6027\u8cea\u304c\u9023\u9396\u3059\u308b\u3053\u3068\u304c\u591a\u3044\u3002 Prop $L/K$: \u6709\u9650\u6b21\u62e1\u5927, $M/L$: \u6709\u9650\u6b21\u62e1\u5927 $\\iff$ $M/K$: \u6709\u9650\u6b21\u62e1\u5927 proof ($\\Rightarrow$)$L$ \u306e $K$ \u4e0a\u306e\u57fa\u5e95\u3092 $v_1,\\cdots,v_n$ \u3068\u3057\u3001$M $ \u306e $L$ \u4e0a\u306e\u57fa\u5e95\u3092 $w_1,\\cdots,w_m $ \u3068\u3059\u308b\u3002 \u3053\u306e\u6642\u3001 $\\{v_i w_j\\}$ \u306f $M $ \u306e $K$ \u4e0a\u306e\u57fa\u5e95\u3067\u3042\u308b\u3002 ($\\Leftarrow$)$L \\subset M $ \u306a\u306e\u3067\u3001 $L$ \u306e $K$ \u4e0a\u306e\u57fa\u5e95\u306f\u6709\u9650\u500b\u3067\u3042\u308b\u3002\u3082\u3057 $M $ \u306e $L$ \u4e0a\u306e\u57fa\u5e95\u306f\u7121\u9650\u3067\u3042\u308b\u3068\u3059\u308b\u3068\u3001\u2026","provider_name":"Hatena Blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F22%2F000642\" title=\"Galois\u7406\u8ad6(45)\u2015\u6027\u8cea\u306e\u9023\u9396\u3068\u6b63\u898f\u62e1\u5927\u88dc\u8db3(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>","published":"2016-09-22 00:06:42","height":"190","url":"https://randommemory.hatenablog.com/entry/2016/09/22/000642","type":"rich","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","width":"100%","provider_url":"https://hatena.blog","version":"1.0"}