{"id":63595,"date":"2024-04-15T04:32:34","date_gmt":"2024-04-15T04:32:34","guid":{"rendered":"https:\/\/science-hub.click\/Sylow%E3%81%AE%E5%AE%9A%E7%90%86%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-04-15T04:32:34","modified_gmt":"2024-04-15T04:32:34","slug":"Sylow%E3%81%AE%E5%AE%9A%E7%90%86%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=63595","title":{"rendered":"Sylow \u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>\u7fa4\u7406\u8ad6\u3067\u306f\u3001 <b>Sylow \u306e\u5b9a\u7406\u306f<\/b>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\u306e\u90e8\u5206\u9006\u6570\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308c\u3070\u3001 <i>H \u304c<\/i>\u6709\u9650\u7fa4<i>G<\/i>\u306e\u90e8\u5206\u7fa4\u3067\u3042\u308b\u5834\u5408\u3001 <i>H<\/i>\u306e\u6b21\u6570\u306f<i>G<\/i>\u306e\u6b21\u6570\u3092\u5206\u5272\u3057\u307e\u3059\u3002 Sylow \u306e<span>\u5b9a\u7406\u306f<\/span>\u3001 <i>G<\/i>\u306e\u6b21\u6570\u306e\u7279\u5b9a\u306e\u7d04\u6570\u306b\u3064\u3044\u3066\u3001\u5bfe\u5fdc\u3059\u308b\u6b21\u6570\u306e\u90e8\u5206\u7fa4\u306e\u5b58\u5728\u3092\u4fdd\u8a3c\u3057\u3001\u3053\u308c\u3089\u306e\u90e8\u5206\u7fa4\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span>\u306b\u95a2\u3059\u308b\u60c5\u5831\u3092\u4e0e\u3048\u307e\u3059\u3002<\/p><p>\u305d\u308c\u3089\u306f\u30011872 \u5e74\u306b\u305d\u308c\u3089\u3092\u5b9f\u8a3c\u3057\u305f\u30ce\u30eb\u30a6\u30a7\u30fc\u306e<span><a href=\"https:\/\/science-hub.click\/?p=17102\">\u6570\u5b66\u8005<\/a><\/span>\u30eb\u30fc\u30c8\u30f4\u30a3\u30d2 \u30b7\u30ed\u30a6\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=\" Sylow \u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/rpnloD0Vaqw\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u610f\u5473<\/h2><p><i>p \u3092<\/i><span><a href=\"https:\/\/science-hub.click\/?p=16478\">\u7d20\u6570<\/a><\/span>\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u6b21\u306b\u3001 <i>G<\/i>\u306e<b><i>p<\/i> -Sylow \u90e8\u5206\u7fa4\u3092<\/b><i>G<\/i>\u306e<i>p<\/i>\u6700\u5927\u90e8\u5206\u7fa4 (\u3064\u307e\u308a\u3001 <i>p<\/i>\u7fa4\u3067\u3042\u308a\u3001 <i>G<\/i>\u306e\u5225\u306e<i>p<\/i>\u90e8\u5206\u7fa4\u306e\u9069\u5207\u306a\u90e8\u5206\u7fa4\u3067\u306f\u306a\u3044\u90e8\u5206\u7fa4) \u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3059\u3002\u4e0e\u3048\u3089\u308c\u305f\u7d20\u6570\u6574\u6570<i>p<\/i>\u306b\u5bfe\u3059\u308b\u3059\u3079\u3066\u306e<i>p<\/i> -Sylow \u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8<\/a><\/span>\u306f\u3001Syl <sub><i>p<\/i><\/sub> ( <i>G<\/i> ) \u3068\u8868\u8a18\u3055\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p><p><span><a href=\"https:\/\/science-hub.click\/?p=11998\">\u7fa4\u8ad6<\/a><\/span>\u3067\u306f\u3001\u3042\u308b<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u610f\u5473<\/a><\/span>\u3067\u306e\u6975\u5927\u90e8\u5206\u7fa4\u306e\u96c6\u5408\u306f\u73cd\u3057\u3044\u3053\u3068\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u306e\u9a5a\u304f\u3079\u304d\u7d50\u679c\u306f\u3001Syl <sub><i>p<\/i><\/sub> ( <i>G<\/i> ) \u306e\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u30e1\u30f3\u30d0\u30fc\u304c\u5b9f\u969b\u306b\u306f\u4e92\u3044\u306b\u5171\u5f79\u3057\u3066\u304a\u308a (\u3057\u305f\u304c\u3063\u3066\u540c\u578b)\u3001\u3053\u306e\u7279\u6027\u3092\u5229\u7528\u3057\u3066<i>G<\/i>\u306e\u4ed6\u306e\u7279\u6027\u3092\u6c7a\u5b9a\u3067\u304d\u308b\u3053\u3068\u3067\u3059\u3002<\/p><h2>\u4f8b\u3001\u5fdc\u7528\u4f8b<\/h2><p><i>G \u3092<\/i>\u6b21\u6570 15 = 3 \u00b7 5 \u306e\u7fa4\u3068\u3057\u307e\u3059<i>\u3002n<\/i> <sub>3<\/sub>\u9664\u7b97 5\u3001\u304a\u3088\u3073<i>n<\/i> <sub>3<\/sub> = 1 mod 3 \u304c\u5fc5\u8981\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u5236\u7d04\u3092\u6e80\u305f\u3059\u552f\u4e00\u306e\u5024\u306f 1 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u6570 3 \u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306f 1 \u3064\u3060\u3051\u3042\u308a\u3001\u305d\u308c\u306f\u6b63\u898f\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093 (\u660e\u78ba\u306a\u5171\u5f79\u304c\u306a\u3044\u305f\u3081)\u3002\u540c\u69d8\u306b\u3001 <i>n<\/i> <sub>5 \u306f<\/sub>3 \u3092\u9664\u7b97\u3057\u3001 <i>n<\/i> <sub>5<\/sub> = 1 mod 5 \u3068\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u6570 5 \u306e\u5358\u4e00\u306e\u6b63\u898f\u90e8\u5206\u7fa4\u3082\u6301\u3061\u307e\u3059\u3002 3 \u3068 5 \u306f\u6bd4\u8f03\u7684\u7d20\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3089 2 \u3064\u306e\u90e8\u5206\u7fa4\u306e\u5171\u901a\u90e8\u5206\u306f\u81ea\u660e\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066<i>G \u306f<\/i>\u5fc5\u7136\u7684\u306b<span><a href=\"https:\/\/science-hub.click\/?p=49647\">\u5de1\u56de\u7fa4\u306b<\/a><\/span>\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u6570 15 \u306e\u5358\u4e00\u306e\u30b0\u30eb\u30fc\u30d7\u304c\u5b58\u5728\u3057\u307e\u3059 (\u540c\u578b\u5199\u50cf\u306f 1 \u3064\u307e\u3067)\u3002\u6ce8\u8a18<div class=\"math-formual notranslate\">$$ {\\mathbb Z\/15\\mathbb Z} $$<\/div> \u3002<\/p><p>\u3088\u308a\u8907\u96d1\u306a\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u6b21\u6570 350 \u306e\u5358\u7d14\u306a\u7fa4\u306f\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <i>G<\/i> | = 350 = 2 \u00b7 5 <sup>2<\/sup> \u00b7 7 \u306e\u5834\u5408\u3001 <i>n<\/i> <sub>5 \u306f<\/sub>14 (= 2 \u00b7 7) \u3092\u9664\u7b97\u3057\u3001 <i>n<\/i> <sub>5<\/sub> = 1 mod 5 \u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001 <i>n<\/i> <sub>5<\/sub> = 1 (6 \u3082 11 \u3082 14 \u3092\u9664\u7b97\u3057\u306a\u3044\u305f\u3081)\u3001\u3057\u305f\u304c\u3063\u3066<i>G \u306f<\/i>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u306f\u6b21\u6570 5 <sup>2<\/sup>\u306e\u6b63\u898f\u90e8\u5206\u7fa4\u3092\u6301\u3064\u305f\u3081\u3001\u5358\u7d14\u3067\u3042\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p><p>\u6b21\u6570 168 \u306e\u51a0\u8a5e\u5358\u7d14\u7fa4\u3067\u306f\u3001Sylow \u306e\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u7fa4\u306e\u5358\u7d14\u306a\u6027\u8cea\u3092\u793a\u3057\u307e\u3059\u3002\u51a0\u8a5e<span><a href=\"https:\/\/science-hub.click\/?p=45432\">\u4ea4\u4e92\u7fa4\u306f<\/a><\/span>\u3053\u308c\u3089\u306e\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u3001\u6700\u5c0f\u306e\u5358\u7d14\u306a\u975e\u30a2\u30fc\u30d9\u30eb\u7fa4\u304c 60 \u6b21\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" Sylow \u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/zU6_2gdz2a8\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2> Sylow \u306e\u5b9a\u7406<\/h2><p>\u6b21\u306e\u547d\u984c\u306f\u30011872 \u5e74\u306b\u30ce\u30eb\u30a6\u30a7\u30fc\u306e\u6570\u5b66\u8005\u30eb\u30fc\u30c8\u30f4\u30a3\u30d2 \u30b7\u30ed\u30a6\u306b\u3088\u3063\u3066\u63d0\u5531\u3055\u308c\u3001\u5b9f\u8a3c\u3055\u308c\u307e\u3057\u305f\u3002 <i>G<\/i>\u3092\u4e0e\u3048\u3089\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=70227\">\u6709\u9650\u7fa4<\/a><\/span>\u3001 <i>p \u3092<\/i><i>G<\/i>\u306e\u6b21\u6570\u3092\u5206\u5272\u3059\u308b\u7d20\u6570\u3068\u3059\u308b\u3068\u3001 <i>G<\/i>\u306e\u6b21\u6570\u306f ( <i>p<\/i> <sup><i>n<\/i><\/sup> \u00b7 <i>s<\/i> )\u3001 <i>n<\/i> &gt; 0 \u304a\u3088\u3073<i>p \u306f<\/i><i>s \u3092<\/i>\u9664\u7b97\u3057\u307e\u305b\u3093\u3002\u305d\u308c\u3067\uff1a<\/p><ul><li> <i>G<\/i>\u306b\u306f<i>pn<\/i>\u30aa\u30fc\u30c0\u30fc\u306e<i>p<\/i> -Sylow \u90e8\u5206\u7fa4\u304c\u5b58\u5728\u3057\u307e\u3059<sup><i>\u3002<\/i><\/sup><\/li><li> <i>G<\/i>\u306e\u3059\u3079\u3066\u306e<i>p<\/i> -Sylow \u90e8\u5206\u7fa4\u306f\u4e92\u3044\u306b\u5171\u5f79\u3067\u3059 (\u3057\u305f\u304c\u3063\u3066\u540c\u578b\u3067\u3059)\u3002\u3064\u307e\u308a\u3001 <i>H<\/i>\u3068<i>K \u304c<\/i><i>G<\/i>\u306e<i>p<\/i> -Sylow \u90e8\u5206\u7fa4\u3067\u3042\u308b\u5834\u5408\u3001 <i>g<\/i> <sup>&#8211; 1<\/sup> <i>H<\/i> <i>g<\/i> = <i>K \u3092<\/i>\u6e80\u305f\u3059\u8981\u7d20<i>g \u304c<\/i><i>G<\/i>\u306b\u5b58\u5728\u3057\u307e\u3059\u3002<\/li><li> <i>n <sub>p \u3092<\/sub><\/i><i>G<\/i>\u306e<i>p<\/i> -Sylow \u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306e\u6570\u3068\u3057\u307e\u3059\u3002<ul><li> <i>n <sub>p \u306f<\/sub><\/i><i>s \u3092<\/i>\u9664\u7b97\u3057\u307e\u3059\u3002<\/li><li> <i>n <sub>p<\/sub><\/i> = 1 mod <i>p<\/i> \u3002<\/li><\/ul><\/li><\/ul><p>\u7279\u306b\u3001\u524d\u8ff0\u306e\u7279\u6027\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u3059\u3079\u3066\u306e<\/a><\/span><i>p<\/i> -Sylow \u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u304c\u540c\u3058\u6b21\u6570<i>p<\/i> <sup><i>n<\/i><\/sup>\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u9006\u306b\u3001\u90e8\u5206\u7fa4\u304c<sup><i>\u6b21\u6570 pn \u306e<\/i><\/sup>\u5834\u5408<i>\u3001<\/i>\u305d\u308c\u306f<i>p<\/i> -Sylow \u90e8\u5206\u7fa4\u3067\u3042\u308b\u305f\u3081\u3001\u4ed6\u306e\u3059\u3079\u3066\u306e<i>p<\/i> -Sylow \u90e8\u5206\u7fa4\u3068\u540c\u578b\u306b\u306a\u308a\u307e\u3059\u3002\u6700\u5927\u6761\u4ef6\u306e\u305f\u3081\u3001 <i>H \u304c<\/i><i>G<\/i>\u306e\u4efb\u610f\u306e<i>p<\/i>\u90e8\u5206\u7fa4\u3067\u3042\u308b\u5834\u5408\u3001 <i>H \u306f<\/i>\u6b21\u6570<i>p<\/i> <sup>n<\/sup>\u306e<i>p<\/i>\u90e8\u5206\u7fa4\u306e\u90e8\u5206\u7fa4\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p>\u3055\u3089\u306b\u3001G \u306e\u5404 p-Sylow \u306e\u30ce\u30fc\u30de\u30e9\u30a4\u30b6\u306f\u3001G \u306b\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<span><i>n<\/i> <sub><i>p \u3092<\/i><\/sub><\/span>\u6301\u3061\u307e\u3059\u3002<\/p><h2>\u305d\u306e\u4ed6\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/h2><p>\u7b2c\u4e00\u5b9a\u7406<\/p><p>\u79c1\u305f\u3061\u306f\u63a8\u6e2c\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\displaystyle |G| = n} $$<\/div> (\u3064\u307e\u308a\u3001\u6b21\u6570 n \u306e<span><i>G<\/i><\/span> );\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {\\displaystyle G} $$<\/div>\u306e\u90e8\u5206\u7fa4\u3068\u540c\u578b\u3067\u3042\u308b<div class=\"math-formual notranslate\">$$ {\\displaystyle Sym (n)} $$<\/div>\u3053\u308c\u306f\u6b21\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3068\u540c\u578b\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {GL_n (\\mathbb {F}_p)} $$<\/div>\u3053\u308c\u306f\u3001\u6b21\u306e\u7dda\u5f62\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u30bb\u30c3\u30c8\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb{F}_p} $$<\/div> -\u30d9\u30af\u30c8\u30eb\u7a7a\u9593<div class=\"math-formual notranslate\">$$ {\\displaystyle E} $$<\/div>\u6b21\u5143\u306e<div class=\"math-formual notranslate\">$$ {\\displaystyle n} $$<\/div> \u3002\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {\\displaystyle (e_1,&#8230;, e_n)} $$<\/div>\u306e\u57fa\u790e<div class=\"math-formual notranslate\">$$ {\\mathbb{F}_p^{n}} $$<\/div> \u3001 \u3068\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\displaystyle Sym (n)} $$<\/div>\u306f\u96c6\u5408\u304b\u3089\u6b21\u3078\u306e\u9806\u5217\u306e\u96c6\u5408\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\displaystyle n} $$<\/div>\u8981\u7d20\u3001\u305f\u3068\u3048\u3070<div class=\"math-formual notranslate\">$$ {\\displaystyle \\{e_1,&#8230;, e_n\\}} $$<\/div> \u3001 \u3082\u3057<div class=\"math-formual notranslate\">$$ {\\sigma \\in Sym (n)} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\displaystyle \\sigma} $$<\/div>\u57fa\u5e95\u3092\u4e26\u3079\u66ff\u3048\u308b\u306e\u3067\u3001\u305d\u308c\u3092\u5168\u5358\u5c04\u7dda\u5f62\u30de\u30c3\u30d7\u3001\u3064\u307e\u308a \u306e\u8981\u7d20\u306b\u5bfe\u5fdc\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {GL_n (\\mathbb {F}_p)} $$<\/div> \u3002\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {T = { \\begin{pmatrix} 1 &amp; \\cdots &amp; * \\\\ \\vdots &amp; 1 &amp; \\vdots \\\\ 0 &amp; \\cdots &amp; 1 \\end{pmatrix} \\in GL_n (\\mathbb {F}_p)}} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {|T| = p \\times p^2 \\times \\cdots \\times p^{n-1} } $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {|GL_n (\\mathbb{F}_p)|_p = (p^n-1)(p^n-p)\\cdots (p^n-p^{n-1}) = p \\times p^2 \\times \\cdots \\times p^{n-1}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\displaystyle T} $$<\/div>\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3067\u3059<div class=\"math-formual notranslate\">$$ {GL_n (\\mathbb {F}_p)} $$<\/div> \u3001 \u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {\\displaystyle T} $$<\/div>\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\displaystyle p} $$<\/div> -Sylow \u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7<div class=\"math-formual notranslate\">$$ {GL_n (\\mathbb {F}_p)} $$<\/div>\u305d\u3057\u3066\u597d\u304d<div class=\"math-formual notranslate\">$$ {\\displaystyle G} $$<\/div>\u306e\u90e8\u5206\u7fa4\u3068\u540c\u578b\u3067\u3042\u308b<div class=\"math-formual notranslate\">$$ {GL_n (\\mathbb {F}_p) } $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\displaystyle G} $$<\/div>\u8a8d\u3081\u308b<div class=\"math-formual notranslate\">$$ {\\displaystyle p} $$<\/div> -Sylow\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7<\/p><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" Sylow \u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/dWgRWpIFoPQ\/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%A7%D8%AA_%D8%B3%D9%8A%D9%84%D9%88\">\u0645\u0628\u0631\u0647\u0646\u0627\u062a \u0633\u064a\u0644\u0648 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Teoremes_de_Sylow\">Teoremes de Sylow \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Sylowovy_v%C4%9Bty\">Sylowovy v\u011bty \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Sylow-S%C3%A4tze\">Sylow-S\u00e4tze \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Sylow_theorems\">Sylow theorems \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Teoremas_de_Sylow\">Teoremas de Sylow \u2013 espagnol<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  Sylow \u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\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=\"\u301050\u5e74\u672a\u89e3\u6c7a\u3011\u8a3c\u660e\u304c\u9bae\u3084\u304b\u3059\u304e\u308b\u795e\u79d8\u306e\u5b9a\u7406\u3068\u306f\uff1f\u3010\u3086\u3063\u304f\u308a\u89e3\u8aac\u3011\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/zU6_2gdz2a8?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 \u7fa4\u7406\u8ad6\u3067\u306f\u3001 Sylow \u306e\u5b9a\u7406\u306f\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\u306e\u90e8\u5206\u9006\u6570\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308c\u3070\u3001 H \u304c\u6709\u9650\u7fa4G\u306e\u90e8\u5206\u7fa4\u3067\u3042\u308b\u5834\u5408\u3001 H\u306e\u6b21\u6570\u306fG\u306e\u6b21\u6570\u3092\u5206\u5272\u3057\u307e\u3059\u3002 Sylow \u306e\u5b9a\u7406\u306f\u3001 G\u306e\u6b21\u6570\u306e\u7279\u5b9a\u306e\u7d04\u6570\u306b\u3064\u3044\u3066 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":63596,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/F_qdpZN7mCk\/0.jpg","fifu_image_alt":" Sylow \u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[59729,11,13,14,10,59730,12,1911,8,16,15,9],"class_list":["post-63595","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-thevet","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-diplome-national-du-brevet","tag-dossier","tag-theoremes","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/63595"}],"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=63595"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/63595\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/63596"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=63595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=63595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=63595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}