{"id":87625,"date":"2024-05-17T08:00:43","date_gmt":"2024-05-17T08:00:43","guid":{"rendered":"https:\/\/science-hub.click\/%E7%BE%A4%E3%81%AB%E9%96%A2%E3%81%99%E3%82%8B%E3%83%A9%E3%82%B0%E3%83%A9%E3%83%B3%E3%82%B8%E3%83%A5%E3%81%AE%E5%AE%9A%E7%90%86-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-05-17T08:00:43","modified_gmt":"2024-05-17T08:00:43","slug":"%E7%BE%A4%E3%81%AB%E9%96%A2%E3%81%99%E3%82%8B%E3%83%A9%E3%82%B0%E3%83%A9%E3%83%B3%E3%82%B8%E3%83%A5%E3%81%AE%E5%AE%9A%E7%90%86-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=87625","title":{"rendered":"\u7fa4\u306b\u95a2\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/3Spnvh-o2TA\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u30b8\u30e7\u30bc\u30d5\uff1d\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5<\/div><\/div><\/div><p>\u6570\u5b66\u3001\u7279\u306b\u7fa4\u7406\u8ad6\u306b\u304a\u3044\u3066\u3001<b>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\u306f\u3001<\/b>\u6709\u9650\u7fa4\u306b\u95a2\u3059\u308b\u7d44\u307f\u5408\u308f\u305b\u60c5\u5831\u3092\u63d0\u4f9b\u3059\u308b\u57fa\u672c\u7684\u306a\u7d50\u679c\u3092\u8a18\u8ff0\u3059\u308b\u5b9a\u7406\u3067\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=17102\">\u6570\u5b66\u8005<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=62233\">\u30b8\u30e7\u30bc\u30d5=\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5<\/a><\/span>\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u7fa4\u306b\u95a2\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/QtDcumfgiNU\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u58f0\u660e<\/h2><div><p><strong>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e<span>\u5b9a\u7406<\/span><\/strong><span>\u2014<\/span>\u6709\u9650\u7fa4<span><i>G<\/i><\/span>\u304a\u3088\u3073<span><i>G<\/i><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u90e8\u5206<\/a><\/span>\u7fa4<span><i>H<\/i><\/span>\u306b\u3064\u3044\u3066\u3001 <span><i>H<\/i><\/span>\u306e\u57fa\u6570 (\u4f4d\u6570\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u306f<span><i>G<\/i><\/span>\u306e\u57fa\u6570\u3092\u5272\u308a\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\mbox{card}(H) \\mid \\mbox{card} (G)} $$<\/div> \u3002<\/center><\/div><p> <span><i>G<\/i><\/span>\u306e\u57fa\u6570\u3068<span><i>H<\/i><\/span>\u306e\u57fa\u6570\u306e\u5546\u306f\u3001 <i>G<\/i>\u306b\u304a\u3051\u308b<i>H<\/i>\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u547c\u3070\u308c\u3001[G:H] \u3067\u8868\u3055\u308c\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\mbox{card}(G)= \\mbox{card} (H)\\times[G:H]\\,} $$<\/div> \u3002<\/center><h2>\u6b74\u53f2\u7684<\/h2><p>\u30d5\u30e9\u30f3\u30b9\u306e\u6570\u5b66\u8005\u30b8\u30e7\u30bc\u30d5\u30fb\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306f\u3001\u591a\u9805\u5f0f\u306e\u4e0d\u5b9a\u6570<i>n \u3092<\/i><i>\u4e26\u3079\u66ff\u3048\u308b<\/i>\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u5f97\u3089\u308c\u308b\u5f0f\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span>\u304c n \u306e<span><a href=\"https:\/\/science-hub.click\/?p=39222\">\u7d04\u6570<\/a><\/span>\u306b\u306a\u308b\u3053\u3068\u3092\u5b9f\u8a3c\u3057\u307e\u3057\u305f<span><i>\u3002<\/i><\/span> \u3002\u9806\u5217\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8\u306f<\/a><\/span>\u3001\u4eca\u65e5\u3067\u306f<span><i>n<\/i>\u306e\u30b0\u30eb\u30fc\u30d7\u3068\u3057\u3066\u898b\u306a\u3055\u308c\u307e\u3059\u3002<\/span> <i>n \u500b<\/i>\u306e\u5909\u6570\u3092\u6301\u3064\u591a\u9805\u5f0f\u306b\u4f5c\u7528\u3059\u308b\u8981\u7d20\u3002\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u7814\u7a76\u306f\u3001\u3053\u306e\u4f5c\u7528\u306e<span><a href=\"https:\/\/science-hub.click\/?p=21770\">\u8ecc\u9053<\/a><\/span>\u306e\u57fa\u6570\u306e\u8a08\u7b97\u3068\u3057\u3066\u518d\u89e3\u91c8\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u7fa4\u306b\u95a2\u3059\u308b\u7814\u7a76\u306e\u5148\u99c6\u3051\u3068\u3057\u3066\u73fe\u308c\u3001\u305d\u306e\u6700\u521d\u306e\u8a9e\u5f59\u7528\u8a9e\u306f<span><a href=\"https:\/\/science-hub.click\/?p=40142\">\u30aa\u30fc\u30ae\u30e5\u30b9\u30bf\u30f3\u30fb\u30eb\u30a4\u30fb\u30b3\u30fc\u30b7\u30fc<\/a><\/span>\u306e\u7814\u7a76\u306b\u7d9a\u3044\u3066\u5c0e\u5165\u3055\u308c\u3001\u305d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9\u306f<\/a><\/span>\u6b63\u5f0f\u306b\u78ba\u8a8d\u3055\u308c\u305f\u3060\u3051\u3067\u3057\u305f\u3002 1882\u5e74\u306b\u30f4\u30a1\u30eb\u30bf\u30fc\u30fb\u30d5\u30e9\u30f3\u30c4\u30fb\u30a2\u30f3\u30c8\u30f3\u30fb\u30d5\u30a9\u30f3\u30fb\u30c0\u30a4\u30af\u306b\u3088\u3063\u3066<span>\u4e0e\u3048\u3089\u308c\u305f<\/span>\u3002<\/p><h2>\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/h2><p>\u6700\u521d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u306f<\/a><\/span>\u3001\u53e4\u5178\u7684\u3067\u6bd4\u8f03\u7684\u521d\u6b69\u7684\u306a\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u3059\u3002 <span><a href=\"https:\/\/science-hub.click\/?p=68283\">2 \u3064\u76ee\u306f<\/a><\/span>\u30b0\u30eb\u30fc\u30d7\u884c\u52d5\u306e\u6982\u5ff5\u306b\u57fa\u3065\u3044\u3066\u304a\u308a\u3001\u305d\u306e\u5b9a\u7fa9\u304c\u601d\u3044\u51fa\u3055\u308c\u307e\u3059\u3002<\/p><h3><span>\u7b49\u4fa1\u95a2\u4fc2<\/span><\/h3><p>\u5b9a\u7406\u306e\u6700\u521d\u306e\u8a3c\u660e\u306f\u3001\u96c6\u5408<span><i>G \u3092<\/i><\/span><span><i>H<\/i><\/span>\u3068\u7b49\u4fa1\u306a (\u3064\u307e\u308a\u3001 <i>H<\/i>\u3068\u540c\u3058\u6fc3\u5ea6\u306e) \u96c6\u5408\u306e\u30d5\u30a1\u30df\u30ea\u30fc\u306b\u5206\u5272\u3059\u308b\u3053\u3068\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u30d1\u30fc\u30c6\u30a3\u30b7\u30e7\u30f3\u306e\u30c7\u30fc\u30bf\u306f\u3001 <span><i>G<\/i><\/span>\u4e0a\u306e\u540c\u5024\u95a2\u4fc2\u306e\u30c7\u30fc\u30bf\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/p><p>\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div> <span><i>G<\/i><\/span>\u306e\u4e8c\u9805\u95a2\u4fc2\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {x\\mathcal R y \\Leftrightarrow xy^{-1} \\in H} $$<\/div><\/center><p><div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div>\u6b21\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u30c1\u30a7\u30c3\u30af\u3057\u307e\u3059\u3002<\/p><ul><li><b>\u53cd\u5c04\u6027<\/b>:<span><a href=\"https:\/\/science-hub.click\/?p=35670\">\u9006\u95a2\u6570<\/a><\/span>\u306e\u5b9a\u7fa9\u306b\u3088\u308a\u3001 <span><i>G<\/i><\/span>\u306e\u8981\u7d20<span><i>x \u306f<\/i><\/span>\u540c\u4e00\u6027\u3092\u691c\u8a3c\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {x\\cdot x^{-1}=e} $$<\/div> \u3002\u4e2d\u6027\u5143\u7d20<span><i>e \u306f\u3001<\/i><\/span>\u90e8\u5206\u7fa4\u306e\u5b9a\u7fa9\u306b\u3088\u308a<span><i>H<\/i><\/span>\u306b\u5c5e\u3057\u307e\u3059\u3002\u5b9f\u969b\u306b\u306f\u3001 <div class=\"math-formual notranslate\">$$ {x\\mathcal Rx} $$<\/div> \u3002<\/li><li><b>\u5bfe\u79f0\u6027<\/b>: <span><i>G<\/i><\/span>\u306e\u3059\u3079\u3066\u306e<span><i>x<\/i><\/span>\u3068<span><i>y<\/i><\/span>\u306b\u3064\u3044\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u66f8\u304d\u307e\u3059\u3002 <center><div class=\"math-formual notranslate\">$$ {x\\cdot y^{-1}=\\bigl(y\\cdot x^{-1}\\bigr)^{-1}} $$<\/div> \u3002<\/center>\u3059\u3050\u306b\u3001 <div class=\"math-formual notranslate\">$$ {x\\cdot y^{-1}} $$<\/div>\u4ee5\u4e0b\u306e\u5834\u5408\u306b\u9650\u308a\u3001 <span><i>H<\/i><\/span>\u306b\u5c5e\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {y\\cdot x^{-1}} $$<\/div> <span><i>H<\/i><\/span>\u306b\u5c5e\u3057\u307e\u3059\u3002\u66f8\u304d\u63db\u3048\u3089\u308c\u305f\u7b49\u4fa1\u6027: <div class=\"math-formual notranslate\">$$ { xRy\\Leftrightarrow yRx} $$<\/div> \u3002<\/li><li><b>\u63a8\u79fb\u6027<\/b>: <span><i>G<\/i><\/span>\u5185\u306e\u3059\u3079\u3066\u306e<span><i>x<\/i> \u3001 <i>y<\/i> \u3001 <i>z<\/i><\/span>\u306b\u3064\u3044\u3066\u3001\u7a4d\u306e\u7d50\u5408\u6027\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <center><div class=\"math-formual notranslate\">$$ {x\\cdot z^{-1}=\\bigl(x\\cdot y^{-1}\\bigr)\\cdot \\bigl(y\\cdot z^{-1}\\bigr)} $$<\/div> \u3002<\/center>\u30d1\u30fc\u30c8<span><i>H \u304c<\/i><\/span>\u88fd\u54c1\u3054\u3068\u306b\u5b89\u5b9a\u3057\u3066\u3044\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {x\\mathcal R y} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {y\\mathcal R z} $$<\/div> \u3001 \u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {x\\mathcal R z} $$<\/div> \u3002<\/li><\/ul><p>\u95a2\u4fc2<div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div>\u306f\u518d\u5e30\u7684\u3001\u5bfe\u79f0\u7684\u3001\u63a8\u79fb\u7684\u3067\u3042\u308b\u305f\u3081\u3001\u96c6\u5408<span><i>G<\/i><\/span>\u4e0a\u3067\u540c\u5024\u95a2\u4fc2\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002 <span><i>e<\/i><\/span>\u306e\u540c\u5024\u985e\u306f<span><i>H<\/i><\/span>\u306b\u4ed6\u306a\u308a\u307e\u305b\u3093\u3002<\/p><p>\u95a2\u4fc2\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044<div class=\"math-formual notranslate\">$$ {\\mathcal R} $$<\/div>\u306f<span><i>G-<\/i><\/span>\u53f3\u4e0d\u5909\u3067\u3059: <span><i>G<\/i><\/span>\u5185\u306e\u3059\u3079\u3066\u306e<span><i>x<\/i> \u3001 <i>y<\/i><\/span> \u3001 <span><i>z<\/i><\/span>\u306b\u3064\u3044\u3066\u3001 <div class=\"math-formual notranslate\">$$ {x\\mathcal R y} $$<\/div>\u6697\u9ed9\u7684\u306b\uff08\u3057\u305f\u304c\u3063\u3066\u3001\u3068\u540c\u7b49\u3067\u3042\u308b\uff09 <div class=\"math-formual notranslate\">$$ {(xz)\\mathcal R(yz)} $$<\/div> \u3002\u7279\u306b\u3001 <span><i>C \u304c<\/i><\/span>\u540c\u5024\u30af\u30e9\u30b9\u3092\u6307\u5b9a\u3057\u3001 <span><i>x \u304c<\/i><\/span><span><i>C<\/i><\/span>\u306e\u8981\u7d20\u3092\u6307\u5b9a\u3059\u308b\u5834\u5408\u3001\u96c6\u5408\u306f<div class=\"math-formual notranslate\">$$ {C\\cdot x^{-1}} $$<\/div>\u306f<span><i>e<\/i><\/span>\u306e\u540c\u5024\u30af\u30e9\u30b9\u3067\u3042\u308b\u305f\u3081\u3001 <span><i>H.<\/i><\/span>\u78ba\u304b\u306b\u3001C=Hx (C \u306e y &lt;=&gt; xRy &lt;=&gt; H \u306b\u306f\u6b21\u306e\u3088\u3046\u306a h \u304c\u5b58\u5728\u3057\u307e\u3059) <div class=\"math-formual notranslate\">$$ {y\\cdot x^{-1}=h} $$<\/div> &lt;=&gt;y in Hx)\u3001\u3064\u307e\u308a<div class=\"math-formual notranslate\">$$ {C\\cdot x^{-1}=H} $$<\/div> \u3002<\/p><p>\u30a2\u30d7\u30ea\u306e\u3088\u3046\u306b<div class=\"math-formual notranslate\">$$ {y\\mapsto yx^{-1}} $$<\/div>\u304c\u5168\u5358\u5c04\u306e\u5834\u5408\u3001\u30bb\u30c3\u30c8<span><i>C<\/i><\/span>\u3068<span><i>H \u306f<\/i><\/span>\u540c\u3058\u57fa\u6570\u3092\u6301\u3061\u307e\u3059\u3002\u76f4\u3061\u306b\u3001\u540c\u5024\u30af\u30e9\u30b9\u306f<span><i>G \u3092<\/i><\/span><span><i>H<\/i><\/span>\u3068\u540c\u3058\u30ab\u30fc\u30c7\u30a3\u30ca\u30ea\u30c6\u30a3\u3092\u6301\u3064\u90e8\u5206\u306b\u5206\u5272\u3057\u307e\u3059\u3002<\/p><h3><span>\u96c6\u56e3\u884c\u52d5<\/span><\/h3><p>\u96c6\u5408<i>X<\/i>\u306b\u5bfe\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=70227\">\u6709\u9650\u7fa4<\/a><\/span><i>G<\/i>\u306e\u4f5c\u7528\u306f\u3001\u5168\u5358\u5c04\u5199\u50cf\u306e<i>G<\/i>\u306e\u5404\u8981\u7d20<i>g<\/i>\u306e\u30c7\u30fc\u30bf\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {X\\rightarrow X} $$<\/div>\u6ce8\u76ee\u3055\u308c\u305f\u8981\u7d20\u306b<i>x \u3092<\/i>\u9001\u4fe1\u3059\u308b<div class=\"math-formual notranslate\">$$ {g\\cdot x} $$<\/div> \u3001\u6b21\u306e 2 \u3064\u306e\u6761\u4ef6\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\forall x \\in X,\\ e \\cdot x = x} $$<\/div><\/center><center><div class=\"math-formual notranslate\">$$ {\\forall g,h\\in G, \\; g\\cdot (h\\cdot x)=(gh)\\cdot x} $$<\/div><\/center><p>\u6709\u9650\u7fa4<i>G \u304c<\/i>\u96c6\u5408<i>X<\/i>\u306b\u4f5c\u7528\u3059\u308b\u5834\u5408\u3001 <i>X<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span><i>x<\/i>\u306e\u30b9\u30bf\u30d3\u30e9\u30a4\u30b6\u30fc\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u7fa4<i>G<\/i>\u306e\u8981\u7d20<i>h<\/i>\u306e\u96c6\u5408\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {h\\cdot x=x} $$<\/div> ;\u5b89\u5b9a\u5264\u304c<i>G<\/i>\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3067\u3042\u308b\u3053\u3068\u3092\u691c\u8a3c\u3059\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002 <i>x<\/i>\u306e\u8ecc\u9053\u306f\u3001\u8981\u7d20<i>y<\/i>\u306e\u96c6\u5408\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059<i>\u3002<\/i> <div class=\"math-formual notranslate\">$$ {g\\cdot x=y} $$<\/div>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {g\\in G} $$<\/div> \u3002\u8981\u7d20<i>g<\/i>\u306b\u3088\u308b\u5171\u5f79\u306f\u3001 <i>x<\/i>\u306e\u30b9\u30bf\u30d3\u30e9\u30a4\u30b6\u30fc\u306e\u30b9\u30bf\u30d3\u30e9\u30a4\u30b6\u30fc\u3078\u306e\u5168\u5358\u5c04\u3092<span><a href=\"https:\/\/science-hub.click\/?p=34366\">\u5f15\u304d\u8d77\u3053\u3057\u307e\u3059<\/a><\/span>\u3002 <div class=\"math-formual notranslate\">$$ {g\\cdot x} $$<\/div> : <\/p><center><div class=\"math-formual notranslate\">$$ {Stab(g\\cdot x)=g\\cdot Stab(x)\\cdot g^{-1}=\\{ghg^{-1}, h\\in Stab(x)\\}} $$<\/div> \u3002<\/center><p>\u7279\u306b\u3001 <i>x<\/i>\u306e\u30b9\u30bf\u30d3\u30e9\u30a4\u30b6\u30fc\u306e\u6fc3\u5ea6\u306f\u3001\u305d\u306e\u8ecc\u9053\u306b\u304a\u3051\u308b<i>x<\/i>\u306e\u9078\u629e\u306b\u4f9d\u5b58\u3057\u307e\u305b\u3093\u3002<span>\u30b7\u30a7\u30d1\u30fc\u30ba\u306e\u88dc\u984c<\/span>\u306e\u9069\u7528\u306b\u3088\u308a\u3001 <i>x<\/i>\u306e\u30b9\u30bf\u30d3\u30e9\u30a4\u30b6\u30fc\u306e\u57fa\u6570\u306f<i>G<\/i>\u306e\u57fa\u6570\u3092\u5272\u308a\u3001\u305d\u306e\u5546\u306f<i>x<\/i>\u306e\u8ecc\u9053\u306e\u57fa\u6570\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p><p>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\u306e\u8a3c\u660e\u306f\u3001\u6709\u9650\u7fa4<i>G<\/i>\u306e\u4efb\u610f\u306e\u90e8\u5206\u7fa4<i>H \u3092<\/i><i>G<\/i>\u306e\u4f5c\u7528\u306e\u5b89\u5b9a\u5264\u3068\u3057\u3066\u5b9f\u73fe\u3059\u308b\u3053\u3068\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u8003\u616e\u3055\u308c\u308b\u30a2\u30af\u30b7\u30e7\u30f3\u306f\u3001\u30b0\u30eb\u30fc\u30d7<i>G<\/i>\u306e\u90e8\u5206\u306e\u30bb\u30c3\u30c8<i>X<\/i>\u306e\u5de6\u3078\u306e\u5909\u63db\u306b\u3088\u308b\u30a2\u30af\u30b7\u30e7\u30f3\u3067\u3042\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\forall g\\in G, \\forall A\\in X, \\; g\\cdot A=\\{ga, a\\in A\\}} $$<\/div> \u3002<\/center><p>\u90e8\u5206\u7fa4<i>H<\/i>\u306e\u5b89\u5b9a\u5264\u306f\u6b63\u78ba\u306b<i>H<\/i>\u3067\u3059\u3002\u5b9f\u969b\u3001\u7b49\u5f0f<span><i>g<\/i> <i>H<\/i> = <i>H \u306f\u3001<\/i><\/span> <span><i>g<\/i> <i>h<\/i> = <i>e<\/i><\/span>\u3092\u691c\u8a3c\u3059\u308b\u8981\u7d20<i>h<\/i>\u306e\u5b58\u5728\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001 <span><i>g \u306f<\/i><\/span><i>H<\/i>\u306e\u8981\u7d20\u306e\u9006\u6570\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u305a\u3001\u30d5\u30a9\u30eb\u30c6\u30a3\u30aa\u30ea\u81ea\u4f53\u306f<i>H<\/i>\u306b\u5c5e\u3057\u3066\u3044\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u9006\u306b\u3001 <i>H<\/i>\u306e\u8981\u7d20\u306e\u7a4d\u306f<i>H<\/i>\u306b\u5c5e\u3059\u308b\u305f\u3081\u3001 <i>H<\/i>\u306e\u4efb\u610f\u306e\u8981\u7d20<i>h \u306f<\/i>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {h\\cdot H=H} $$<\/div> \u3002\u5b9f\u969b\u3001\u4e8c\u91cd\u5305\u63a5\u306b\u3088\u308a<i>H<\/i><i>\u304c<\/i>\u5b89\u5b9a\u5316\u5264\u3068\u306a\u308a\u3001\u305d\u306e\u6027\u8cea\u304c\u767a\u63ee\u3055\u308c\u307e\u3059\u3002<\/p><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u7fa4\u306b\u95a2\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/50XgkDdxoIw\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%85%D8%A8%D8%B1%D9%87%D9%86%D8%A9_%D9%84%D8%A7%D8%BA%D8%B1%D8%A7%D9%86%D8%AC_(%D9%86%D8%B8%D8%B1%D9%8A%D8%A9_%D8%A7%D9%84%D8%B2%D9%85%D8%B1)\">\u0645\u0628\u0631\u0647\u0646\u0629 \u0644\u0627\u063a\u0631\u0627\u0646\u062c (\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0632\u0645\u0631) \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Teorema_de_Lagrange_(%C3%A0lgebra)\">Teorema de Lagrange (\u00e0lgebra) \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Lagrangeova_v%C4%9Bta_(teorie_grup)\">Lagrangeova v\u011bta (teorie grup) \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Satz_von_Lagrange\">Satz von Lagrange \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Lagrange%27s_theorem_(group_theory)\">Lagrange&#8217;s theorem (group theory) \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Teorema_de_Lagrange_(teor%C3%ADa_de_grupos)\">Teorema de Lagrange (teor\u00eda de grupos) \u2013 espagnol<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u7fa4\u306b\u95a2\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406 &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\uff3b\u5177\u4f53\u4f8b\u3067\u5b66\u3076\u4ee3\u6570\u5b66\u300a\u7fa4\u8ad6\u300bNo.14\uff3d\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/HNh6BhpGVG4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u30b8\u30e7\u30bc\u30d5\uff1d\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5 \u6570\u5b66\u3001\u7279\u306b\u7fa4\u7406\u8ad6\u306b\u304a\u3044\u3066\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\u306f\u3001\u6709\u9650\u7fa4\u306b\u95a2\u3059\u308b\u7d44\u307f\u5408\u308f\u305b\u60c5\u5831\u3092\u63d0\u4f9b\u3059\u308b\u57fa\u672c\u7684\u306a\u7d50\u679c\u3092\u8a18\u8ff0\u3059\u308b\u5b9a\u7406\u3067\u3059\u3002\u6570\u5b66\u8005\u30b8\u30e7\u30bc\u30d5=\u30eb\u30a4\u30fb\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002 \u58f0 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":87626,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/zVrQgpqo0_g\/0.jpg","fifu_image_alt":"\u7fa4\u306b\u95a2\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406 - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[19285,11,13,14,10,7985,12,78229,570,8,16,15,9],"class_list":["post-87625","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-groupes","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-lagrange","tag-dossier","tag-amoreux","tag-theoreme","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/87625"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=87625"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/87625\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/87626"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=87625"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=87625"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=87625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}