[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14555#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14555","headline":"Tarski-Gruppe-Wikipedia","name":"Tarski-Gruppe-Wikipedia","description":"before-content-x4 Tarski-Groupen Alfred Tarski\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u305f\u3082\u306e\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u7406\u8ad6\u306e\u6570\u5b66\u7684\u30b5\u30d6\u30a8\u30ea\u30a2\u3067\u8abf\u3079\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306e\u6761\u4ef6\u3092\u6301\u3064\u7121\u9650\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u3059\u3002\u4e00\u90e8\u306e\u8457\u8005\u306f\u3001\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u306e\u767a\u898b\u8005A. J.\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u306b\u3088\u308b\u3068\u3001\u30bf\u30eb\u30b9\u30ad\u30fc\u30e2\u30f3\u30b9\u30bf\u30fc\u30b0\u30eb\u30fc\u30d7\u3001\u307e\u305f\u306f\u5f7c\u3089\u306e\u767a\u898b\u8005A. J.\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u306b\u3064\u3044\u3066\u3082\u8a9e\u3063\u3066\u3044\u307e\u3059\u3002 [\u521d\u3081] after-content-x4 \u30b0\u30eb\u30fc\u30d7 g {displaystyle g} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 Tarski-Groupe \u4ee5\u4e0b\u304c\u9069\u7528\u3055\u308c\u308b\u5834\u5408\uff1a \u30b0\u30eb\u30fc\u30d7 after-content-x4 g {displaystyle g}","datePublished":"2022-05-11","dateModified":"2022-05-11","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/f5f3c8921a3b352de45446a6789b104458c9f90b","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/f5f3c8921a3b352de45446a6789b104458c9f90b","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14555","wordCount":4589,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4Tarski-Groupen Alfred Tarski\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u305f\u3082\u306e\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u7406\u8ad6\u306e\u6570\u5b66\u7684\u30b5\u30d6\u30a8\u30ea\u30a2\u3067\u8abf\u3079\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306e\u6761\u4ef6\u3092\u6301\u3064\u7121\u9650\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u3059\u3002\u4e00\u90e8\u306e\u8457\u8005\u306f\u3001\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u306e\u767a\u898b\u8005A. J.\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u306b\u3088\u308b\u3068\u3001\u30bf\u30eb\u30b9\u30ad\u30fc\u30e2\u30f3\u30b9\u30bf\u30fc\u30b0\u30eb\u30fc\u30d7\u3001\u307e\u305f\u306f\u5f7c\u3089\u306e\u767a\u898b\u8005A. J.\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u306b\u3064\u3044\u3066\u3082\u8a9e\u3063\u3066\u3044\u307e\u3059\u3002 [\u521d\u3081]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30b0\u30eb\u30fc\u30d7 g {displaystyle g} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 Tarski-Groupe \u4ee5\u4e0b\u304c\u9069\u7528\u3055\u308c\u308b\u5834\u5408\uff1a \u30b0\u30eb\u30fc\u30d7        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4g {displaystyle g} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 \u62e1\u5f35\u3055\u308c\u305fTarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7 \u901a\u5e38\u306e\u4ed5\u5207\u308a\u304c\u3042\u308b\u5834\u5408 n \u2282 g {displaystyle nsubset g} \u6b21\u306e\u3082\u306e\u304c\u9069\u7528\u3055\u308c\u308b\u3088\u3046\u306b\u4e0e\u3048\u307e\u3059\uff1a  \u30bf\u30eb\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u5354\u4f1a\u306e\u69cb\u9020 Alfred Tarski\u306f\u3001\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306e\u95a2\u9023\u6027\u304c\u9ad8\u30552\u306e\u91cf\u3092\u6301\u3063\u3066\u3044\u308b\u7121\u9650\u306e\u30b0\u30eb\u30fc\u30d7\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3068\u3044\u3046\u554f\u984c\u3092\u63d0\u8d77\u3057\u307e\u3057\u305f\u3002 [3] \u305d\u308c\u306f\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u304b\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305d\u306e\u3088\u3046\u306a\u30b0\u30eb\u30fc\u30d7\u306e\u5b58\u5728\u306f\u9577\u3044\u9593\u4e0d\u660e\u78ba\u3067\u3057\u305f\u304c\u3001\u7d50\u5c40\u3001\u30aa\u30eb\u30b7\u30e3\u30f3\u30b9\u30ad\u30fc\u306f1979\u5e74\u306b\u4e3b\u8981\u306a\u6570\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x410^{75}}”> p \u3053\u306e\u7a2e\u306e\u30b0\u30eb\u30fc\u30d7\u3002 [4] \u540c\u6642\u306b\u3001\u9650\u3089\u308c\u305f\u30d0\u30fc\u30f3\u30b5\u30a4\u30c9\u306e\u554f\u984c\u306e\u3055\u3089\u306a\u308b\u53cd\u8ad6\u304c\u898b\u3064\u304b\u308a\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u6700\u7d42\u7684\u306b\u6709\u9650\u306e\u30b0\u30eb\u30fc\u30d7\u6307\u6570\u3067\u751f\u6210\u3055\u308c\u305f\u30b0\u30eb\u30fc\u30d7\u304c\u6700\u7d42\u7684\u306b\u5fc5\u8981\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u306e\u554f\u984c\u3092\u5c0b\u306d\u307e\u3059\u3002 Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306f2\u3064\u306e\u8981\u7d20\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u305f\u3081\uff08\u4ee5\u4e0b\u3092\u53c2\u7167\uff09\u3001\u305d\u308c\u3089\u3068\u306e\u671b\u307e\u3057\u3044\u65b9\u6cd5\u306e\u30ab\u30a6\u30f3\u30bf\u30fc\u30a8\u30ad\u30b5\u30f3\u30d7\u30eb\u304c\u3055\u3089\u306b\u3042\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u305d\u308c\u3082\u305d\u308c\u306b\u7d9a\u304d\u307e\u3059 p = 2 {displaystyle p = 2} \u3068 p = 3 {displaystyle p = 3} \u30b1\u30a4\u30f3\u30fb\u30bf\u30eb\u30b9\u30ad –  p {displaystyle p} \u30b0\u30eb\u30fc\u30d7\u306f\u4e0e\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3001\u3055\u3082\u306a\u3051\u308c\u3070\u30d0\u30fc\u30f3\u30b5\u30a4\u30c9\u30b0\u30eb\u30fc\u30d7\u306f b \uff08 2 \u3001 2 \uff09\uff09 {displaystyle b\uff082,2\uff09} \u307e\u305f\u3002 b \uff08 2 \u3001 3 \uff09\uff09 {displaystyle b\uff082,3\uff09} \u7121\u9650\u306b\u306a\u308a\u3001\u305d\u3046\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002  \u62e1\u5f35\u3055\u308c\u305f\u30bf\u30eb\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u5354\u4f1a\u306e\u69cb\u9020 2\u3064\u306e\u7570\u306a\u308b\u672c\u7269\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u4ee5\u6765 \u306e {displaystyleu} \u3068 \u306e {displaystyle v} \u4e3b\u8981\u306a\u6570\u5024\u898f\u5236\u306eTARSKI\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u6301\u3063\u3066\u3044\u308b \u306e \u2229 \u306e {displaystyle ucap v} \u4e9b\u7d30\u306a\u3053\u3068\u3002\u3042\u306a\u305f\u304c\u3042\u306a\u305f\u306b\u3088\u3063\u3066\u5236\u4f5c\u3057\u305f\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7 \u27e8 \u306e \u222a \u306e \u27e9 {displaystyle\u30e9\u30f3\u30b0\u30ebucup vrangle} \u305d\u3046\u3067\u306a\u3051\u308c\u3070\u3001\u30b0\u30eb\u30fc\u30d7\u5168\u4f53\u3092\u4e00\u81f4\u3055\u305b\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 \u27e8 \u306e \u222a \u306e \u27e9 {displaystyle\u30e9\u30f3\u30b0\u30ebucup vrangle} \u30d7\u30e9\u30a4\u30e0\u30ca\u30f3\u30d0\u30fc\u898f\u5236\u306e \u306e {displaystyleu} \u3068 \u306e {displaystyle v} \u4f55\u3092\u3059\u3079\u304d\u304b\u3092\u542b\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 \u306e = \u27e8 \u306e \u222a \u306e \u27e9 = \u306e {displaystyle u = langle ucup vrangle = v} \u5c0e\u3044\u305f\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30bf\u30eb\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u306e\u672c\u7269\u306e\u975e\u81ea\u660e\u306a\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306f\u3001\u30a2\u30f3\u30c6\u30a3\u30b1\u30c3\u30c8\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u5354\u4f1a\u3068\u62e1\u5f35\u3055\u308c\u305fTarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306e\u69cb\u9020\u306f\u3001\u96a3\u63a5\u3059\u308b\u30b9\u30b1\u30c3\u30c1\u306e\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002\u7279\u306b\u3001\u3053\u308c\u3089\u306fM\u30b0\u30eb\u30fc\u30d7\u3067\u3059\u3002 Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306f\u4e0a\u8a18\u306e\u5f8c\u306b2\u3064\u306e\u8981\u7d20\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u305f\u3081\u3001\u62e1\u5f35\u3055\u308c\u305fTarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u304c\u6700\u7d42\u7684\u306b\u751f\u6210\u3055\u308c\u308b\u305f\u3081\u3001\u30ed\u30fc\u30ab\u30eb\u306b\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002 \uff08\u6700\u7d42\u7684\u306b\u751f\u6210\u3055\u308c\u305f\u3059\u3079\u3066\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u304c\u6700\u7d42\u7684\u306b\u73fe\u5730\u3067\u547c\u3070\u308c\u307e\u3059\u3002\uff09 \u9006\u306b\u3001Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306f\u3001\u6b21\u306e2\u3064\u306e\u8981\u7d20\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u305f\u7121\u9650\u306eM\u30b0\u30eb\u30fc\u30d7\u306b\u8868\u793a\u3055\u308c\u307e\u3059\u3002 \u306a\u308c g {displaystyle g} M\u30b0\u30eb\u30fc\u30d7\u3068 \u30d0\u30c4 \u3001 \u3068 \u2208 g {displaystyle x\u3001yin g} \u7d20\u6570\u306e\u52b9\u529b\u9806\u5e8f\u306e2\u3064\u306e\u8981\u7d20\u3002\u88fd\u54c1 h \uff1a= \u27e8 \u30d0\u30c4 \u3001 \u3068 \u27e9 {displaystyle H\uff1a=\u30e9\u30f3\u30b0\u30ebX\u3001Yrangle} \u3053\u306e2\u3064\u306e\u8981\u7d20\u306f\u7121\u9650\u3067\u3059\u3002\u6b21\u306b\u3001\u6b21\u306e\u3053\u3068\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002 [5] [6] \u306f \u27e8 \u30d0\u30c4 \u27e9 \u2229 \u27e8 \u3068 \u27e9 = { \u521d\u3081 } {displaystyle langle xrangle cap langle yrangle = {1}} \u3001\u305d\u3046\u3067\u3059 h {displaystyle h} \u30bf\u30eb\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u3002 \u306f \u27e8 \u30d0\u30c4 \u27e9 \u2229 \u27e8 \u3068 \u27e9 \u2260 { \u521d\u3081 } {displaystyle langle xrangle cap langle yrangle not = {1}} \u3001\u305d\u3046\u3067\u3059 h {displaystyle h} \u62e1\u5f35\u3055\u308c\u305fTarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u3002 Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u304c\u306d\u3058\u308c\u30b0\u30eb\u30fc\u30d7\u3067\u3042\u308b\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059 \u30d0\u30c4 {displaystyle x} Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306e\u8981\u7d20 g {displaystyle g} \u305d\u308c\u3082\u305d\u3046\u3067\u3059 \u30d0\u30c4 {displaystyle x} \u88fd\u9020\u3055\u308c\u305f\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7 \u27e8 \u30d0\u30c4 \u27e9 = { \u30d0\u30c4 n ‘ n \u2208 \u3068 } {displaystyle\u30e9\u30f3\u30b0\u30ebxrangle = {x^{n} mid nin mathbb {z}}}} \u305d\u3046\u3067\u306a\u3051\u308c\u3070\u3001\u672c\u5f53\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306f\u305d\u3046\u3067\u3057\u3087\u3046 g {displaystyle g} \u5468\u671f\u7684\u3067\u3059\u3002\u3064\u307e\u308a\u3001Isomorph\u3082 \u3068 {displaystyle mathbb {z}} \u3001 \u3057\u304b\u3057 \u3068 {displaystyle mathbb {z}} Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306e\u672c\u5f53\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3068\u3057\u3066 \u27e8 \u30d0\u30c4 \u27e9 {displaystyle langle xrangle} \u6700\u5f8c\u306b\u3001\u3064\u307e\u308a\u3001 g {displaystyle g} \u306d\u3058\u308c\u30b0\u30eb\u30fc\u30d7\u3067\u3059\u3002\u3053\u308c\u304b\u3089\u3001\u62e1\u5f35\u3055\u308c\u305f\u30bf\u30eb\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7\u304c\u306d\u3058\u308c\u30b0\u30eb\u30fc\u30d7\u3067\u3042\u308b\u3053\u3068\u304c\u7c21\u5358\u306b\u5165\u624b\u3067\u304d\u307e\u3059\u3002\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u5354\u4f1a\u306e\u8aac\u660e\u306f\u3001\u305d\u308c\u304cM\u30b0\u30eb\u30fc\u30d7\u3067\u3042\u308b\u3053\u3068\u304c\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002 \u9006\u306b\u3001Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u3068\u62e1\u5f35\u3055\u308c\u305fTarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u6b21\u306e\u3088\u3046\u306b\u6b21\u306e\u3088\u3046\u306b\u8868\u793a\u3055\u308c\u307e\u3059\u3002 [7] [8] [9] \u306d\u3058\u308c\u30b0\u30eb\u30fc\u30d7\u306f\u3001\u305d\u308c\u3089\u304c\u306e\u76f4\u63a5\u7684\u306a\u7523\u7269\u3067\u3042\u308b\u5834\u5408\u3001\u307e\u3055\u306bM\u30b0\u30eb\u30fc\u30d7\u3067\u3059 Tarski-Groupen\u3001 \u62e1\u5f35\u3055\u308c\u305f\u30bf\u30eb\u30b9\u30ad\u30fc\u30b0\u30eb\u30fc\u30d7 \u305d\u3057\u3066\u5730\u5143\u306e\u30b0\u30eb\u30fc\u30d7\u3001 \u305d\u306e\u305f\u3081\u30012\u3064\u306e\u8981\u7d20\u306b\u306f\u3001\u7570\u306a\u308b\u76f4\u63a5\u7684\u306a\u8981\u56e0\u304b\u3089\u306e\u30d1\u30fc\u30c6\u30a3\u30fc\u304c\u3042\u308a\u307e\u3059\u3002 Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306f\u7c21\u5358\u3067\u3059\u3002 [\u5341] \u306a\u308c n {displaystyle n} Tarski\u30b0\u30eb\u200b\u200b\u30fc\u30d7\u306e\u975e\u4e9b\u7d30\u306a\u6b63\u5e38\u306a\u5206\u88c2\u8005 g {displaystyle g} \u3002\u305d\u308c\u304b\u3089 n {displaystyle n} \u6700\u5f8c\u306b\u3001\u305d\u308c\u3086\u3048 g \/ n {displaystyle g\/n} \u7121\u9650\u3002\u518d\u30a8\u30ec\u30e1\u30f3\u30c8\u306e\u5225\u306e\u8981\u7d20 g \/ n {displaystyle g\/n} \u6709\u9650\u306e\u9806\u5e8f\u304c\u3042\u308b\u305f\u3081\u3001\u5b9f\u969b\u306e\u3001\u81ea\u660e\u3067\u306a\u3044\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u304c\u4f5c\u6210\u3055\u308c\u307e\u3059 g \/ n {displaystyle g\/n} \u3002\u5546\u306e\u753b\u50cf\u306e\u4e0b\u306b\u3042\u308b\u305d\u308c\u3089\u306e\u30a2\u30fc\u30ad\u30bf\u30a4\u30d7\u306f\u3001\u672c\u5f53\u306b\u9593\u306b\u3042\u308b\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3067\u3059 n {displaystyle n} \u3068 g {displaystyle g} \u5618\u3002\u3053\u308c\u306f\u6700\u7d42\u7684\u306b\u4e3b\u8981\u306a\u6570\u306e\u898f\u5236\u306e\u3082\u306e\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u305a\u3001 n {displaystyle n} \u672c\u7269\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3002\u3053\u306e\u77db\u76fe\u306f\u305d\u308c\u3092\u793a\u3057\u3066\u3044\u307e\u3059 n {displaystyle n} \u901a\u5e38\u306e\u4ed5\u5207\u308a\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3001\u3064\u307e\u308a\u3001 g {displaystyle g} \u7c21\u5358\u3067\u3059\u3002 \u2191  L. N. Shevrin\u3001A\u3002J\u3002Ovsyannikov\uff1a \u30bb\u30df\u30b0\u30eb\u30fc\u30d7\u3068\u305d\u306e\u30b5\u30d6\u30bb\u30df\u30f3\u30b0\u30eb\u30c6\u30a3\u30b9 \u3001Springer-Verlag\u30011996\u3001ISBN 978-94-015-8751-8\u3001\u7b2c5.13\u7ae0  \u2191  \u30ed\u30fc\u30e9\u30f3\u30c9\u30fb\u30b7\u30e5\u30df\u30c3\u30c8\uff1a \u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u30e9\u30c6\u30a3\u30b9 \u3001Walter of Gruyter\uff081994\uff09\u3001ISBN 3-11213-2\u3001Seite 82\uff1a \u30e2\u30b8\u30e5\u30e9\u30fc\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u683c\u5b50\u3092\u6301\u3064\u306d\u3058\u308c\u30b0\u30eb\u30fc\u30d7  \u2191  B. H.\u30ce\u30a4\u30de\u30f3\uff1a \u30b0\u30eb\u30fc\u30d7\u7406\u8ad6\u306e\u3044\u304f\u3064\u304b\u306e\u65b0\u3057\u3044\u5642 \u3001 Math\u3002Medley6\uff083\uff09\u3001100\u301c103\u30da\u30fc\u30b8  \u2191  A.\u30e6\u3002 olshanskii\uff1a \u74b0\u72b6\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3092\u6301\u3064\u7121\u9650\u306e\u30b0\u30eb\u30fc\u30d7 dokl\u3002\u30a2\u30ab\u30c9\u3002 Nauk SSSR\u3001245\uff1a4\uff081979\uff09\u3001785\u2013787  \u2191  \u30ed\u30fc\u30e9\u30f3\u30c9\u30fb\u30b7\u30e5\u30df\u30c3\u30c8\uff1a \u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u30e9\u30c6\u30a3\u30b9 \u3001Walter the Gruryter\uff081994\uff09\u3001ISBN 3-11-011,011313-2\u3001LMMA 2.4.117  \u2191  Ragmar Rudolph\uff1a \u30e2\u30b8\u30e5\u30e9\u30fc\u30b0\u30eb\u30fc\u30d7\u5411\u3051\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u30bb\u30c3\u30c8 \u3001\u6570\u5b66\u306e\u305f\u3081\u306e\u6bce\u6708\u306e\u5c0f\u518a\u5b50\u3001\u7b2c94\u5dfb\uff081982\uff09\u3001149\u301c153\u30da\u30fc\u30b8  \u2191  P.\u30d1\u30eb\u30d5\u30a3\uff1a \u30b0\u30eb\u30fc\u30d7\u3068\u683c\u5b50 \u306e \u30aa\u30c3\u30af\u30b9\u30d5\u30a9\u30fc\u30c9\u306e\u30bb\u30f3\u30c8\u30a2\u30f3\u30c9\u30ea\u30e5\u30fc\u30b92001\u30b0\u30eb\u30fc\u30d7 \u3001\u30ed\u30f3\u30c9\u30f3\u6570\u5b66\u5354\u4f1a\u3001\u8b1b\u7fa9\u30ce\u30fc\u30c8\u30b7\u30ea\u30fc\u30ba305\u3001\u30d0\u30f3\u30c9II\u3001\u30b1\u30f3\u30d6\u30ea\u30c3\u30b8\u5927\u5b66\u51fa\u7248\u5c40\uff082003\uff09\u3001ISBN 0-521-53740-1\u3001Seite 432\u3001Theorem 2.5  \u2191  \u30ed\u30fc\u30e9\u30f3\u30c9\u30fb\u30b7\u30e5\u30df\u30c3\u30c8\uff1a \u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u30e9\u30c6\u30a3\u30b9 \u3001Walter the Gruryter\uff081994\uff09\u3001ISBN 3-11-0121313-2\u3001Theorem 2.4.16  \u2191  \u30ed\u30fc\u30e9\u30f3\u30c9\u30fb\u30b7\u30e5\u30df\u30c3\u30c8\uff1a \u30e2\u30b8\u30e5\u30e9\u30fc\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u5354\u4f1a\u306e\u30b0\u30eb\u30fc\u30d7 \u3001Arch\u3002Math46\u3001\u30da\u30fc\u30b8118\u2013124\uff081986\uff09  \u2191  D. J. S.\u30ed\u30d3\u30f3\u30bd\u30f3\uff1a \u30b0\u30eb\u30fc\u30d7\u306e\u7406\u8ad6\u306e\u30b3\u30fc\u30b9 \u3001Springer-Verlag 1996\u3001ISBN 0-387-94461-3\u3001\u7b2c14.4\u7ae0\u3001\u6f14\u7fd21       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14555#breadcrumbitem","name":"Tarski-Gruppe-Wikipedia"}}]}]