{"width":"100%","categories":["math-alg"],"url":"https://randommemory.hatenablog.com/entry/2016/08/14/222433","image_url":null,"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","description":"\u30fb$L$\u3092\u4f53\u3068\u3057\u3066\u3001\u3042\u308b\u81ea\u7136\u6570$m $\u306b\u3064\u3044\u3066$m1 = 0$\u3068\u3059\u308b\u3002\u3053\u306e\u3088\u3046\u306a$m $\u306e\u3046\u3061\u6700\u5c0f\u306e\u3082\u306e\u306f\u7d20\u6570\u3067\u3042\u308b\u3002\u7d20\u6570\u3067\u306a\u3044\u3068\u3059\u308b\u3068\u3001$m=ab,\\ 0 \u81ea\u7136\u6570\u306f\u7d20\u6570\u3067\u3042\u308b\u3002\u305d\u308c\u3092$p$\u3068\u3059\u308b\u3002 $p\\Z$\u306f$\\Z$\u306e\u6975\u5927\u30a4\u30c7\u30a2\u30eb\u3067\u3042\u308b\u306e\u3067\u3001$\\Z/(p)$\u306f\u4f53\u3068\u306a\u308b\u3002$\\mathbb{F}_p := \\Z/(p)$\u3068\u304a\u304f\u3002 \u6e96\u540c\u578b\u5199\u50cf$\\mathbb{F}_p \\ni 1 \\mapsto 1 \\in L$\u3092\u8003\u3048\u308b\u3053\u3068\u3067\u3001$\\mathbb{F}_p \\subset L$\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3088\u3063\u3066$L$\u306f$\\mathbb{F}_p$\u306e\u62e1\u5927\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b${}_\\blacksquare$\u2026","published":"2016-08-14 22:24:33","type":"rich","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(1)\u2015\u4f53\u3068\u65e2\u7d04\u591a\u9805\u5f0f","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F14%2F222433\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(1)\u2015\u4f53\u3068\u65e2\u7d04\u591a\u9805\u5f0f - \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>","author_name":"derwind","blog_url":"https://randommemory.hatenablog.com/","provider_name":"Hatena Blog","version":"1.0","provider_url":"https://hatena.blog","height":"190"}