(1,2;C)的代数收敛定理

Algebraic Convergence Theorem of Subgroups in (1,2;C)

通过对M bius群的研究得到了 (1,2 ;C )中代数收敛性定理 ,即若 {Gi} i∈N=〈gil,… ,gir〉是 (1,2 ;C )中由r个元素生成的挠一致有界的离散非初等子群序列且 {Gi} i∈N 代数收敛于G ,则G是离散非初等的 .

The algebraic convergence theorem of subgroups in  (1,2, C )is obtained by studying the Mbius groups, which reads:if G is the algebraic limit group of a sequence of nonelementary discrete and uniformly bounded torsion subgroups ｛ G i｝ i∈N =〈g i1 ,…,g ir 〉in  (1,2; C ), then G is nonelementary and discrete.