{"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F27%2F202224\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(18)\u2015\u88ab\u7d04\u591a\u9805\u5f0f - \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>","blog_url":"https://randommemory.hatenablog.com/","url":"https://randommemory.hatenablog.com/entry/2016/08/27/202224","version":"1.0","width":"100%","author_name":"derwind","description":"$K$ \u3092\u6a19\u6570 $p$ \u306e\u4f53\u3068\u3059\u308b\u3002 $P \\in K[X]$ \u3092\u65e2\u7d04\u591a\u9805\u5f0f\u3068\u3057\u3001 $X^p$ \u306b\u3064\u3044\u3066\u306e\u591a\u9805\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u4f8b\u3048\u3070\u3001 $(X^p)^2 + 2(X^p) + 1$ \u306a\u3069\u3002 \u66f4\u306b\u3001\u4e00\u822c\u306b $X^{p^r}$ \u306e\u5f62\u306e\u591a\u9805\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u3057\u3066\u3001 $P(X) = Q(X^{p^r})$ \u3068\u3059\u308b\u3002\u3053\u3053\u3067 $r$ \u3068\u3057\u3066\u306f\u3053\u306e\u5f62\u5f0f\u3067\u8003\u3048\u3089\u308c\u308b\u6700\u5927\u306e\u3082\u306e\u3092\u8003\u3048\u3066\u3044\u308b\u3002 $P$ \u306e\u65e2\u7d04\u6027\u306b\u3088\u308a $Q \\in K[X]$ \u3082\u65e2\u7d04\u3067\u3042\u308b\u3002 \u3082\u3057 $Q(X) = X^{p^3} + X^{2p} + X^p + 1$ \u306e\u3088\u3046\u306b\u6307\u6570\u304c $p$ \u3067\u5272\u308a\u5207\u308c\u308b\u51aa\u3068\u5b9a\u6570\u9805\u304b\u3089\u306a\u308b\u5834\u5408\u3001\u4f8b\u3048\u3070\u3001 $Q\u2026","published":"2016-08-27 20:22:24","provider_url":"https://hatena.blog","height":"190","categories":["math-alg"],"author_url":"https://blog.hatena.ne.jp/derwind/","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(18)\u2015\u88ab\u7d04\u591a\u9805\u5f0f","type":"rich","provider_name":"Hatena Blog","image_url":null}