{"description":"\u6709\u9650\u4f53\u7d9a\u304d\u3002 Theorem $\\mathbb{F}_{p^n}$ \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 proof $P(\\alpha) = 0$ \u306a\u308b $\\alpha$ \u30921\u3064\u3068\u3063\u3066 $\\mathbb{F}_p[\\alpha] (\\subset \\bar{\\mathbb{F}}_p)$ \u3092\u8003\u3048\u308b\u3068\u3001 $\\mathbb{F}_p[\\alpha] \\simeq \\mathrm{span}\\{1,\\alpha,\\cdots,\\alpha^{n-1}\\}$ \u3067\u3042\u308b\u306e\u3067\u3001 $|\\mat\u2026","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F21%2F125103\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(11)\u2015\u6709\u9650\u4f53\u7d9a\u304d - \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>","type":"rich","published":"2016-08-21 12:51:03","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","version":"1.0","height":"190","author_name":"derwind","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(11)\u2015\u6709\u9650\u4f53\u7d9a\u304d","author_url":"https://blog.hatena.ne.jp/derwind/","blog_url":"https://randommemory.hatenablog.com/","provider_name":"Hatena Blog","width":"100%","categories":["math-alg"],"image_url":null,"url":"https://randommemory.hatenablog.com/entry/2016/08/21/125103","provider_url":"https://hatena.blog"}