Algebraic convergence theorems of n-dimensional Kleinian groups

2007 ◽  
Vol 162 (1) ◽  
pp. 221-233 ◽  
Author(s):  
Xiantao Wang
2012 ◽  
Vol 55 (1) ◽  
pp. 1-8 ◽  
Author(s):  
WENSHENG CAO

AbstractLet {Gr,i} be a sequence of r-generator subgroups of U(1,n; ℂ) and Gr be its algebraic limit group. In this paper, two algebraic convergence theorems concerning {Gr,i} and Gr are obtained. Our results are generalisations of their counterparts in the n-dimensional sense-preserving Möbius group.


2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Xi Fu

We investigate the discreteness and convergence of complex isometry groups and some discreteness criteria and algebraic convergence theorems for subgroups ofPU(n,1)are obtained. All of the results are generalizations of the corresponding known ones.


2011 ◽  
Vol 85 (2) ◽  
pp. 275-279 ◽  
Author(s):  
XI FU

AbstractLet {Gr,i} be a sequence of r-generator Kleinian groups acting on ${\overline {\mathbb {R}}}^n$. In this paper, we prove that if {Gr,i} satisfies the F-condition, then its algebraic limit group Gr is also a Kleinian group. The existence of a homomorphism from Gr to Gr,i is also proved. These are generalisations of all known corresponding results.


2018 ◽  
Vol 7 (2) ◽  
pp. 8
Author(s):  
KUMAR DAS APURVA ◽  
DHAR DIWAN SHAILESH ◽  
DASHPUTRE SAMIR ◽  
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