{"blog_url":"https://randommemory.hatenablog.com/","type":"rich","categories":["math-alg"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F19%2F012524\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(9)\u2015\u4ee3\u6570\u7684\u9589\u5305\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>","author_url":"https://blog.hatena.ne.jp/derwind/","width":"100%","image_url":null,"provider_url":"https://hatena.blog","description":"\u4ee3\u6570\u9589\u4f53\u306b\u601d\u3044\u3092\u99b3\u305b\u305f\u3044\u3002\u7d20\u6570 $p$ \u306b\u5bfe\u3057\u3001 $\\mathbb{F}_p$ \u306e\u3088\u3046\u306b\u6a19\u6570 $p$ \u306e\u4f53\u304c\u5b58\u5728\u3059\u308b\u3002 \u3055\u3066\u3001\u4efb\u610f\u306e\u4f53\u306fZorn\u306e\u88dc\u984c\u3092\u4f7f\u3046\u3053\u3068\u3067\u4ee3\u6570\u7684\u9589\u5305\u3092\u6301\u3064\u3053\u3068\u304c\u793a\u305b\u308b\u3002\u4f53 $K$ \u306e\u4ee3\u6570\u7684\u9589\u5305\u3092 $\\bar{K}$ \u3068\u66f8\u3053\u3046\u3002 $\\bar{K}$ \u306e\u6a19\u6570\u306f\u4f55\u3067\u3042\u308d\u3046\u304b\uff1f \u3053\u308c\u306f\u7c21\u5358\u3067\u3042\u308b\u3002\u81ea\u7136\u306a\u57cb\u3081\u8fbc\u307f\u5199\u50cf\u306b\u3088\u3063\u3066 $K \\ni 1 \\mapsto 1 \\in \\bar{K}$ \u3067\u3042\u308b\u304c\u3001 $n \u6a19\u6570\u306f $p$ \u3067\u3042\u308b\u3002 \u3053\u306e\u3053\u3068\u304b\u3089\u4efb\u610f\u306e\u7d20\u6570 $p$ \u306b\u5bfe\u3057\u3001\u6a19\u6570 $p$ \u306e\u4ee3\u6570\u9589\u4f53\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u308b\u3002\u4ee3\u6570\u9589\u4f53\u306e\u6050\u3089\u304f\u306f\u6700\u3082\u6709\u540d\u306a\u4f8b\u304c $\\C$ \u3067\u3042\u308b(\u4ee3\u6570\u5b66\u306e\u57fa\u2026","version":"1.0","author_name":"derwind","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(9)\u2015\u4ee3\u6570\u7684\u9589\u5305\u3092\u8003\u3048\u308b","published":"2016-08-19 01:25:24","url":"https://randommemory.hatenablog.com/entry/2016/08/19/012524","height":"190","provider_name":"Hatena Blog"}