On the analytic theory of quasi-finitely generated Kleinian groups. (Chinese. English summary) Zbl 0731.30035

Wang, Jian; Cai, Huijing

Nat. Sci. J. Xiangtan Univ. 12, No. 2, 1-12 (1990).

A Kleinian group \(\Gamma\) is called quasi-finitely generated if it is represented by \(\Gamma =(\gamma_ 1,\gamma_ 2,...,\gamma_ n,\Gamma (B))\), where \(\Gamma\) (B) is a maximal “annihilated subgroup”. This paper is the second of a series of four papers introducing and studying the quasi-finitely generated groups. Here the author analyses structures of \(\Pi_{2q-2}\) cohomology of Kleinian groups using algebraic extensions.

Reviewer: He Zhengxu (Princeton)

MSC:

30F40

Kleinian groups (aspects of compact Riemann surfaces and uniformization)

Keywords:

Eichler integral; Kleinian group