Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1142-1147.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 30F40
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