{"author_name":"derwind","width":"100%","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(34)\u2015\u51aa\u96f6\u6839\u57fa\u306b\u3088\u308b\u5546\u74b0\u3068\u3057\u3066\u306e\u88ab\u7d04\u74b0","author_url":"https://blog.hatena.ne.jp/derwind/","type":"rich","provider_url":"https://hatena.blog","description":"\u5206\u96e2\u6027: \u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(20)\u2015\u5206\u96e2\u6027\u306e\u540c\u5024\u6761\u4ef6 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3088\u308a\u3001 $L$ \u304c $K$ \u4e0a\u5206\u96e2\u7684\u3068\u306f $[L:K]_{sep} := |\\mathrm{Hom}_K(L,\\bar{K})| = [L:K]$ \u306e\u6642\u3067\u3042\u3063\u305f\u3002(\u6839\u304c $\\bar{K}$ \u3067\u5b8c\u5168\u306b\u5206\u96e2\u3057\u3066\u3001\u6e96\u540c\u578b\u306e\u500b\u6570\u304c\u3042\u308b\u6839\u304b\u3089\u5225\u306e\u6839\u3078\u306e\u5199\u50cf\u306e\u5206\u3060\u3051\u8003\u3048\u3089\u308c\u308b)$K \\subset L,E$ \u3092\u62e1\u5927\u3068\u3059\u308b\u3002Base change\u306e\u6642\u306e $A$ \u3092 $K$ \u306b\u3001 $B$ \u3092 $E$ \u3068\u3057\u3066\u8aad\u307f\u66ff\u3048\u308b\u3068\u3001Base change theorem (\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(24)\u2015Base chang\u2026","height":"190","url":"https://randommemory.hatenablog.com/entry/2016/09/14/031922","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","version":"1.0","blog_url":"https://randommemory.hatenablog.com/","categories":["math-alg"],"image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F14%2F031922\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(34)\u2015\u51aa\u96f6\u6839\u57fa\u306b\u3088\u308b\u5546\u74b0\u3068\u3057\u3066\u306e\u88ab\u7d04\u74b0 - \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>","provider_name":"Hatena Blog","published":"2016-09-14 03:19:22"}