| 初等收敛群和拟初等收敛群 |
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| 引用本文： | 李晓沛,王仙桃.初等收敛群和拟初等收敛群[J].数学杂志,2000,20(4):397-402. |
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| 作者姓名： | 李晓沛 王仙桃 |
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| 作者单位： | 湖南大学应用数学系,长沙,410082 |
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| 基金项目： | 国家自然科学基金!( No.1 980 1 0 1 1 )，湖南省自然科学基金!(No.98JJY2 0 72 )资助课题 |
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| 摘 要： | 作为－／R^n上的离散收敛群中的初等群的推广，本文定义了－／R^n上一般收敛群中的初等群和拟初等群，并得到了初等收敛群、拟初等收敛群和非拟初等敛群各自的一些性质和特征。
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| 关 键 词： | 初等收敛群 拟初等收敛群 斜驶元素 抛物元素 椭圆元素 灭比乌斯群 |
ELEMENTARY CONVERGENCE GROUPS AND QUASI-ELEMENTARY CONVERGENCE GROUPS |
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| LI Xiao-pei,WANG Xian-tao.ELEMENTARY CONVERGENCE GROUPS AND QUASI-ELEMENTARY CONVERGENCE GROUPS[J].Journal of Mathematics,2000,20(4):397-402. |
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| Authors: | LI Xiao-pei WANG Xian-tao |
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| Abstract: | As a generalization of the discrete and elementary convergence groups, in this paper, two kinds of general elementary convergence groups (elementary convergence groups and quasi elementary convergence groups) are defined and discussed. Several properties about these two kinds of groups are obtained . |
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| Keywords: | elementary convergence groups quasi elementary convergence groups loxodromic element paarabolic element elliptic element |
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