数学物理学报 ›› 2013, Vol. 33 ›› Issue (6): 1142-1147.

• 论文 • 上一篇    下一篇

负曲率群的代数收敛性

符曦   

  1. 绍兴文理学院 数理信息学院 浙江绍兴 312000
  • 收稿日期:2012-05-23 修回日期:2013-04-10 出版日期:2013-12-25 发布日期:2013-12-25
  • 基金资助:

    国家自然科学基金(11071063)和数学天元基金(11226096)资助

Algebraic Convergence of Negatively Curved Groups

 FU Xi   

  1. Mathematical Information College, Shaoxing University, Zhejiang Shaoxing 312000
  • Received:2012-05-23 Revised:2013-04-10 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金(11071063)和数学天元基金(11226096)资助

摘要:

设{Gr, i}是Bn中的r -生成元的负曲率群序列. 该文证明如果{Gr, i}满足某些条件, 则它的代数极限群Gr 是离散非初等的.

关键词: 负曲率群, 离散, 挠一致有界, 代数收敛, 同构

Abstract:

Let {Gr, i} be a sequence of r-generator negatively curved groups of Bn. In this paper, we prove that if {Gr, i} satisfies some conditions, then its algebraic limit group Gr is discrete and non-elementary.

Key words: Negatively curved groups, Discrete, Uniformly bounded torsion, Algebraic convergence, Isomorphism

中图分类号: 

  • 30F40