{"published":"2016-09-25 16:01:13","type":"rich","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","categories":["math-alg"],"author_url":"https://blog.hatena.ne.jp/derwind/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F25%2F160113\" title=\"Galois\u7406\u8ad6(54)\u2015\u30ac\u30ed\u30a2\u5bfe\u5fdc\u306e\u5168\u5358\u5c04\u6027\u304c\u5d29\u308c\u308b\u30b1\u30fc\u30b9\u306e\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>","version":"1.0","blog_url":"https://randommemory.hatenablog.com/","provider_name":"Hatena Blog","url":"https://randommemory.hatenablog.com/entry/2016/09/25/160113","author_name":"derwind","title":"Galois\u7406\u8ad6(54)\u2015\u30ac\u30ed\u30a2\u5bfe\u5fdc\u306e\u5168\u5358\u5c04\u6027\u304c\u5d29\u308c\u308b\u30b1\u30fc\u30b9\u306e\u7d9a\u304d","height":"190","width":"100%","image_url":null,"provider_url":"https://hatena.blog","description":"\u4ee5\u4e0b\u306f\u300c\u4f53\u3068\u30ac\u30ed\u30a2\u7406\u8ad6\u300d\u00a73.2 \u4f8b3.15\u3068\u672c\u8cea\u7684\u306b\u540c\u3058\u3067\u3042\u308b\u3002 Prop $\\mathbb{F}_p \\subset \\mathbb{F}_{p^2} \\subset \\cdots \\subset \\mathbb{F}_{p^{2^n}} \\subset \\cdots$ \u3068\u3044\u3046\u62e1\u5927\u4f53\u306e\u5217\u3092\u8003\u3048\u3001 $L = \\bigcup_{n} \\mathbb{F}_{p^{2^n}}$ \u3068\u7f6e\u304f\u3002 \u3053\u306e\u6642\u3001 $\\mathrm{Gal}(L/\\mathbb{F}_p)$ \u306f\u5de1\u56de\u7fa4\u3067\u306f\u306a\u3044\u3002 proof \u307e\u305a\u3001 $\\alpha \\in L$ \u3092\u3068\u308b\u3068\u3001 $P_\\min(\\alpha,\\mathbb{F}_p)\u2026"}