{"height":"190","version":"1.0","published":"2016-08-21 10:45:59","provider_name":"Hatena Blog","categories":["math-alg"],"title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(10)\u2015\u6709\u9650\u4f53","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F21%2F104559\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(10)\u2015\u6709\u9650\u4f53 - \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>","description":"\u6709\u9650\u4f53\u3002 \u5143\u306e\u500b\u6570\u304c\u6709\u9650\u3067\u3042\u308b\u4f53 $K$ \u3002\u3068\u3044\u3046\u3053\u3068\u306f\u3001 $1+1+\\cdots$ \u306f\u3044\u3064\u304b 0 \u306b\u306a\u308b\u3002\u3064\u307e\u308a\u3001 $p\\cdot 1 = 0$ \u3067\u3001 $p$ \u306f\u9069\u5f53\u306a\u7d20\u6570\u3002\u3088\u3063\u3066\u6a19\u6570 $p$ \u306e\u4f53\u3002\u305d\u306e\u7d20\u4f53\u306b\u306f $\\mathbb{F}_p = \\Z/(p)$ \u3092\u6301\u3064\u3068\u3044\u3046\u3002$K$ \u3092 $\\mathbb{F}_p$ \u306e\u6709\u9650\u6b21\u62e1\u5927\u3068\u3059\u308b\u3002 $n = [K:\\mathbb{F}_p]$ \u3068\u3059\u308b\u3068\u3001\u9069\u5f53\u306a $\\omega_1,\\cdots,\\omega_n \\in K$ \u3092\u3068\u308b\u3053\u3068\u3067\u3001\u3053\u308c\u304c $K$ \u306e $\\mathbb{F}_p$ \u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u3057\u3066\u306e\u57fa\u5e95\u306b\u306a\u308a\u3001\u4efb\u610f\u306e $x \\in K$ \u2026","type":"rich","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","url":"https://randommemory.hatenablog.com/entry/2016/08/21/104559","image_url":null,"author_name":"derwind","width":"100%"}