{"type":"rich","author_url":"https://blog.hatena.ne.jp/derwind/","description":"\u300c\u660e\u89e3\u30ac\u30ed\u30a2\u7406\u8ad6\u300d\u3088\u308a\u3002 Remark $L/K$: \u6709\u9650\u6b21\u30ac\u30ed\u30a2\u62e1\u5927\u3068\u3059\u308b\u3002 $K \\subset E \\subset F \\subset L$ \u306a\u308b\u4f53\u306e\u62e1\u5927\u3092\u8003\u3048\u308b\u3068\u304d\u3001\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(45)\u2015\u6027\u8cea\u306e\u9023\u9396\u3068\u6b63\u898f\u62e1\u5927\u88dc\u8db3(1) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u307e\u3068\u3081\u305f\u5185\u5bb9\u304b\u3089\u3001 $L/E$, $L/F$ \u306f\u30ac\u30ed\u30a2\u62e1\u5927\u306b\u306a\u308b\u3002\u3053\u306e\u6642\u3001\u305d\u308c\u305e\u308c\u306e\u30ac\u30ed\u30a2\u7fa4\u3092\u8003\u3048\u308b\u3068\u3001 $\\mathrm{Aut}(L/E)$ \u3068 $\\mathrm{Aut}(L/F)$ \u3067\u3042\u308b\u304c\u3001 $L$ \u4e0a\u306e\u540c\u578b\u5199\u50cf\u3068\u3044\u3046\u524d\u63d0\u306e\u3082\u3068\u3001\u3088\u308a\u591a\u304f\u306e\u5143\u3092\u56fa\u5b9a\u306b\u3059\u308b\u306e\u306f\u5f8c\u8005\u3067\u3042\u308b\u306e\u3067\u3001 $\\supset$ \u306e\u5305\u542b\u95a2\u4fc2\u304c\u3042\u308b\u3002\u3088\u3063\u3066\u3001\u2026","published":"2016-09-24 13:57:21","height":"190","image_url":null,"provider_name":"Hatena Blog","author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2016/09/24/135721","version":"1.0","width":"100%","provider_url":"https://hatena.blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"Galois\u7406\u8ad6(48)\u2015\u30ac\u30ed\u30a2\u5bfe\u5fdc\u88dc\u8db3","blog_url":"https://randommemory.hatenablog.com/","categories":["math-alg"],"html":""}