{"published":"2016-09-21 20:42:38","url":"https://randommemory.hatenablog.com/entry/2016/09/21/204238","categories":["math-alg"],"blog_url":"https://randommemory.hatenablog.com/","author_url":"https://blog.hatena.ne.jp/derwind/","description":"$L/K$: \u30ac\u30ed\u30a2\u62e1\u5927 $\\overset{\\text{def}}{\\iff}$ \u6b63\u898f\u304b\u3064\u5206\u96e2\u62e1\u5927 $\\iff$ $K$ \u4e0a\u306e\u3042\u308b\u5206\u96e2\u7684\u306a\u65e2\u7d04\u591a\u9805\u5f0f\u306e\u5206\u89e3\u4f53\u3067\u3042\u3063\u305f\u3002\u66f4\u306b\u3001 $L/K$: \u6709\u9650\u6b21\u62e1\u5927\u3067\u3042\u308c\u3070\u3001 $\\#\\mathrm{Aut}(L/K) = [L:K]$ \u3068\u3044\u3046\u6761\u4ef6\u3068\u3082\u540c\u5024\u3067\u3042\u308b(\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(41)\u2015\u30ac\u30ed\u30a2\u62e1\u5927 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u306e\u5b9a\u7406)\u3002 \u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(19)\u2015\u5206\u96e2\u7684 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u306b\u3042\u308b\u3088\u3046\u306b\u3001 $\\Q,\\R,\\C$ \u306e\u3088\u3046\u306a\u6a19\u65700\u306e\u4f53\u3067\u8003\u3048\u3066\u3044\u308b\u5206\u306b\u306f\u5206\u96e2\u6027\u306f\u6e80\u305f\u3055\u308c\u308b\u306e\u3067\u3001\u6b63\u898f\u6027\u306b\u3064\u3044\u3066\u306f\u3001\u5e7e\u3064\u304b\u306e\u65e2\u7d04\u591a\u9805\u5f0f\u306e\u6839\u3092\u307a\u305f\u307a\u305f\u8cbc\u2026","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"Galois\u7406\u8ad6(44)\u2015\u30ac\u30ed\u30a2\u62e1\u5927\u88dc\u8db3(2)","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F21%2F204238\" title=\"Galois\u7406\u8ad6(44)\u2015\u30ac\u30ed\u30a2\u62e1\u5927\u88dc\u8db3(2) - \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>","width":"100%","author_name":"derwind","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","image_url":null,"version":"1.0","height":"190","type":"rich"}