an:00147737
Zbl 0789.30034
Wang, Jian; Cai, Huijing
On the analytic theory of quasi-finitely generated Kleinian groups. III, IV
ZH
Nat. Sci. J. Xiangtan Univ. 14, No. 2, 40-47 (1992).
00009921
1992
j
30F40
A Kleinian group \(\Gamma\) is said to be quasi-finitely generated if it can be represented by \(\Gamma=\langle \gamma_ 1,\dots,\gamma_ n,\;\Gamma(B) \rangle\), where \(\Gamma(B)\) is the maximal annihilated subgroup. In this paper, the finiteness theorem of Ahlfors is generalized to the quasi-finitely generated Kleinian groups. Many other classical results of finitely generated Kleinian groups are also generalized, such as the area theorem, area inequalities and the estimations of cusps.
Li Zhong (Beijing)