{"provider_name":"Hatena Blog","image_url":null,"height":"190","published":"2016-09-26 00:33:54","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","width":"100%","author_name":"derwind","blog_url":"https://randommemory.hatenablog.com/","type":"rich","version":"1.0","url":"https://randommemory.hatenablog.com/entry/2016/09/26/003354","description":"$K$: \u4f53\u3068\u3057\u3001 $(n,\\mathrm{char}(K)) = 1$ \u3068\u3057 $P_n = X^n - 1$ \u3068\u7f6e\u304f\u3002 $P_n$ \u306f\u91cd\u6839\u3092\u6301\u305f\u306a\u3044\u3002\u3068\u3044\u3046\u306e\u3082\u4eee\u5b9a\u3088\u308a $P_n^\\prime = n X^{n-1} \\neq 0$ \u3067\u3042\u308b\u306e\u3067\u3001 $(P_n,P_n^\\prime) = 1$ \u3068\u306a\u308b\u305f\u3081\u3067\u3042\u308b\u3002 \u3088\u3063\u3066 $P_n$ \u306f\u53b3\u5bc6\u306bn\u500b\u306e\u6839\u3092 $\\bar{K}$ \u5185\u306b\u6301\u3064\u304c\u3001\u3053\u306e\u6839\u305f\u3061\u306f\u7fa4\u3092\u306a\u3059\u3002\u7279\u306b\u5de1\u56de\u7fa4 $\\subset \\bar{K}^\\times$ \u3068\u306a\u308b\u3002\u3053\u308c\u3092 $\\mu_n$ \u3067\u8868\u3059\u3002 Def (\u539f\u59cb\u6839) $\\mu_n$ \u306e\u5143\u3067\u3001\u3044\u304b\u306a\u308b $d \u4f8b $K = \\Q$ \u3068\u3059\u2026","categories":["math-alg"],"provider_url":"https://hatena.blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F26%2F003354\" title=\"Galois\u7406\u8ad6(55)\u2015\u5186\u5206\u62e1\u5927(1) - \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>","title":"Galois\u7406\u8ad6(55)\u2015\u5186\u5206\u62e1\u5927(1)"}