| 自由群在有理数集上的表示 |
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| 引用本文： | 陆炳新,朱作桐.自由群在有理数集上的表示[J].上海大学学报(英文版),2000,4(2):101-105. |
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| 作者姓名： | 陆炳新 朱作桐 |
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| 作者单位： | LU Bing xin 1，ZHU Zuo tong 2 1.Editorial Board of Journal of Nanjing Normal University，Nanjing，Jiangsu Province 210097，China 2.Department of Mathematics，Nanjing Normal University，Nanjing，Jiangsu Province 210097，China |
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| 摘 要： | 1 Ｉｎｔｒｏｄｕｃｔｉｏｎ Ａ .Ｍ .Ｗ .Ｇｌａｓｓｈａｓｓｈｏｗｎｔｈｅｆｒｅｅｌ ｇｒｏｕｐＦη ｏｆｍｏｓｔｉｎｆｉｎｉｔｅｒａｎｋηｔｏｂｅｉｓｏｍｏｒｐｈｉｃｔｏａｄｏｕｂｌｙｔｒａｎｓｉ ｔｉｖｅｌ ｓｕｂｇｒｏｕｐｏｆｔｈｅｌ ｐｅｒｍｕｔａｔｉｏｎｇｒｏｕｐＡ(Ｑ) 1,2 ] .Ｓ .Ｈ .ＭｃＣｌｅａｒｙｈａｓｐｒｏｖｅｄｔｈａｔｔｈｅｆｒｅｅｌ ｇｒｏｕｐＦηｏｆｆｉｎｉｔｅｒａｎｋηｈａｖｅｐｏｓｓｅｓｓｅｄａｆａｉｔｈｆｕｌｌｙ 2 ｔｒａｎｓｉｔｉｖｅｒｅｐ ｒｅｓｅｎｔａｔｉｏｎｏｎｔｈ…
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| 收稿时间： | 4 May 1999 |
Representations of free groups on rational line Q |
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| Bing-xin Lu,Zuo-tong Zhu.Representations of free groups on rational line Q[J].Journal of Shanghai University(English Edition),2000,4(2):101-105. |
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| Authors: | Bing-xin Lu Zuo-tong Zhu |
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| Institution: | 1. Editorial Board of Journal of Nanjing Normal University, Nanjing, Jiangsu Province 210097, China
2. Department of Mathematics, Nanjing Normal University, Nanjing , Jiangsu Province 210097, China |
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| Abstract: | A.M.W. Glass and S. H. McCleary have given the 2-transitive representation of the countable free l-group Fη (1 < η ⩽ ωo) (1<η⩽ω0). In this paper we shall give the highly ordered-transitive representation of countable free groups on the rational line
Q, which generalizes their results. As applications, we obtain the highly ordered-transitive representation for the direct
product of countable free groups,and the inverse limit of countable free groups must be an action on the set Q. |
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| Keywords: | free group highly ordered transitive representation direct product of groups inverse limit of free groups |
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