关于M(o)bius群的代数收敛定理

摘要

Martin anhd Fang established an important convergence theorem for Mobius groups in all dimensions but added the restrictions that involved groups are either finitely generated or satisfy Condition A. In this paper we find a new approach to show that these restrictions are not necessary.%Martin和方爱农分别在有限生成和条件A的限制下建立了高维Mobius群的代数收敛定理.本文中,我们用一种新的方法证明了这些限制条件是不必要的,从而建立了更一般的代数收敛定理.