{"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(12)\u2015\u6709\u9650\u4f53\u3092\u8003\u3048\u308b","image_url":null,"provider_name":"Hatena Blog","type":"rich","height":"190","categories":["math-alg"],"author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","published":"2016-08-21 14:02:30","description":"\u629c\u7fa4\u306b\u80e1\u6563\u81ed\u3044\u3002 \u300c$\\mathbb{F}_{p^n}$ \u306f\u4efb\u610f\u306e $n$ \u6b21\u65e2\u7d04\u591a\u9805\u5f0f $P \\in \\mathbb{F}_p[X]$ \u306e stem field \u304b\u3064 splitting field \u3067\u3042\u308b\u3002\u300d\u306a\u3093\u3066\u672c\u5f53\u304b\uff1f \u3068\u3044\u3046\u611f\u3058\u306b\u306a\u308b\u306e\u304c\u4ee3\u6570\u5b66\u306e\u5acc\u3044\u306a\u3068\u3053\u308d\u3067\u306f\u3042\u308b\u3002\u3054\u304f\u4e00\u822c\u306b\u6271\u3046\u4f53\u306f $\\R$ \u3084 $\\C$ \u3068\u3044\u3063\u305f\u6a19\u65700\u306e\u7d20\u76f4\u306a(\uff1f)\u3082\u306e\u3070\u304b\u308a\u306a\u306e\u3067\u3001\u4e0a\u8a18\u306e\u3088\u3046\u306a\u3053\u3068\u304c\u4fc4\u304b\u306f\u306b\u4fe1\u3058\u304c\u305f\u3044\u3002\u300c\u4efb\u610f\u306e\u51fd\u6570\u304c\u4e09\u89d2\u51fd\u6570\u306e(\u7121\u9650)\u548c\u3067\u8868\u73fe\u3067\u304d\u308b\u300d\u3068\u3044\u3046\u3053\u3068\u3068\u540c\u7b49\u306b\u80e1\u6563\u81ed\u3044\u3002\u5b9a\u7406\u306e\u4e3b\u5f35\u3092\u691c\u8a3c\u3059\u308b\u305f\u3081\u306b\u3001 $n$ \u6b21\u65e2\u7d04\u591a\u9805\u5f0f\u30922\u500b\u4ee5\u4e0a\u6301\u3064\u3088\u3046\u306a\u624b\u9803\u306a $\\mathbb{F}_p[X]$ \u3092\u63a2\u2026","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F21%2F140230\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(12)\u2015\u6709\u9650\u4f53\u3092\u8003\u3048\u308b - \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>","url":"https://randommemory.hatenablog.com/entry/2016/08/21/140230","width":"100%","version":"1.0"}