{"type":"rich","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F10%2F09%2F114721\" title=\"Galois\u7406\u8ad6(59)\u2015Kummer\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>","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","title":"Galois\u7406\u8ad6(59)\u2015Kummer\u62e1\u5927(1)","author_name":"derwind","provider_name":"Hatena Blog","description":"\u4ee5\u4e0b\u3067\u3001\u5de1\u56de\u62e1\u5927(\u30ac\u30ed\u30a2\u62e1\u5927\u3067\u3042\u3063\u3066\u304b\u3064\u305d\u306e\u30ac\u30ed\u30a2\u7fa4\u304c\u5de1\u56de\u7fa4)\u306e\u5834\u5408\u306eKummer\u62e1\u5927\u306b\u3064\u3044\u3066\u898b\u308b\u3002\u300c\u4f53\u3068\u30ac\u30ed\u30a2\u7406\u8ad6\u300d\u3067\u8a00\u3046\u3068\u00a73.6\u304c\u8a72\u5f53\u3059\u308b\u3002(\u3082\u3063\u3068\u4e00\u822c\u7684\u306a\u30b1\u30fc\u30b9\u306f\u00a73.16\u3067\u6271\u308f\u308c\u308b)$n$: \u3042\u308b\u81ea\u7136\u6570\u3092\u56fa\u5b9a\u3057\u3001 $K$: \u4f53\u3092 $(\\mathrm{char}(K),n) = 1$ \u3068\u3059\u308b\u3002\u307e\u305f\u3001 $X^n - 1$ \u304c $K$ \u3067\u5206\u89e3\u3059\u308b\u3068\u3059\u308b\u3002($\\zeta_n^i \\in K, 1 \\le i \\le n - 1$) $0 \\neq a \\in K$ \u3092\u3068\u308a\u3001 $\\alpha = \\sqrt[n]{a}$ \u3068\u304a\u304f($X^n - a$ \u306e\u6839\u3067\u3042\u308a\u3001 $K$ \u306e\u4ee3\u6570\u7684\u9589\u5305\u306e\u4e2d\u306b\u5b58\u5728\u2026","author_url":"https://blog.hatena.ne.jp/derwind/","published":"2016-10-09 11:47:21","height":"190","width":"100%","url":"https://randommemory.hatenablog.com/entry/2016/10/09/114721","image_url":null,"version":"1.0","categories":["math-alg"]}