{"author_url":"https://blog.hatena.ne.jp/derwind/","provider_url":"https://hatena.blog","width":"100%","type":"rich","title":"Galois\u7406\u8ad6(68)\u2015\u30ac\u30ed\u30a2\u62e1\u5927\u306b\u304a\u3051\u308b\u7dda\u578b\u7121\u95a2\u9023\u6027\u306e\u4f8b","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F10%2F22%2F190209\" title=\"Galois\u7406\u8ad6(68)\u2015\u30ac\u30ed\u30a2\u62e1\u5927\u306b\u304a\u3051\u308b\u7dda\u578b\u7121\u95a2\u9023\u6027\u306e\u4f8b - \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>","image_url":null,"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","description":"\u4f8b $\\zeta_n = \\exp(2\\pi i/n)$ \u3068\u3059\u308b\u3002 $\\Q(\\zeta_n) \\Q(\\zeta_m) = \\Q(\\zeta_n, \\zeta_m) = \\Q(\\zeta_{\\mathrm{LCM}(m,n)})$ \u3068\u306a\u308b\u3002 $(m,n) = 1$ \u306e\u6642\u3001 $\\Q(\\zeta_n)$ \u3068 $\\Q(\\zeta_m)$ \u306f $\\Q$ \u4e0a\u7dda\u578b\u7121\u95a2\u9023\u3067\u3042\u308b\u3002\u3053\u306e\u6642\u3001\u7279\u306b $\\Q(\\zeta_n, \\zeta_m) = \\Q(\\zeta_{mn})$ \u3067\u3042\u308b${}_\\square$$\\Q(\\zeta_n, \\zeta_m) \\subset \\Q(\\zeta_{\\mathrm{LCM}(m,\u2026","blog_url":"https://randommemory.hatenablog.com/","categories":["math-alg"],"provider_name":"Hatena Blog","published":"2016-10-22 19:02:09","url":"https://randommemory.hatenablog.com/entry/2016/10/22/190209","author_name":"derwind","height":"190","version":"1.0"}