{"type":"rich","version":"1.0","author_url":"https://blog.hatena.ne.jp/derwind/","url":"https://randommemory.hatenablog.com/entry/2016/09/22/021309","height":"190","title":"Galois\u7406\u8ad6(46)\u2015\u6b63\u898f\u62e1\u5927\u88dc\u8db3(2)\u3068\u5c11\u3057\u6574\u7406","provider_name":"Hatena Blog","description":"Remark 2\u6b21\u62e1\u5927\u306f\u6b63\u898f\u62e1\u5927\u3067\u3042\u308b\u3002 $[L:K] = 2$ \u3068\u3059\u308b\u3002 $P(X) = X^2+aX+b$ \u3068\u3059\u308b\u6642\u3001 $P$ \u306e\u6839\u306f $\\frac{1}{2}(-a \\pm \\sqrt{a^2 - 4b})$ \u306a\u3069\u306e\u3088\u3046\u306b\u3001\u7247\u65b9\u304c $L$ \u306b\u542b\u307e\u308c\u308b\u5834\u5408\u306b\u4ed6\u65b9\u304c\u5171\u5f79\u306a\u6839\u306a\u3069\u3068\u3057\u3066 $L$ \u306e\u4e2d\u3067\u6c42\u307e\u308b\u3002\u3053\u308c\u3092\u4f7f\u3063\u3066\u3001\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(45)\u2015\u6027\u8cea\u306e\u9023\u9396\u3068\u6b63\u898f\u62e1\u5927\u88dc\u8db3(1) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u89e6\u308c\u305f $L/K$: \u6b63\u898f\u62e1\u5927, $M/L$: \u6b63\u898f\u62e1\u5927 $\\not\\Rightarrow$ $M/K$: \u6b63\u898f\u62e1\u5927\u3092\u898b\u308b\u3002 $K=\\Q,\\ L=\\Q(\\sqrt{2}),\\ M=\\\u2026","categories":["math-alg"],"provider_url":"https://hatena.blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F22%2F021309\" title=\"Galois\u7406\u8ad6(46)\u2015\u6b63\u898f\u62e1\u5927\u88dc\u8db3(2)\u3068\u5c11\u3057\u6574\u7406 - \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 02:13:09","width":"100%","author_name":"derwind","blog_url":"https://randommemory.hatenablog.com/"}