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On the cohomology of Fuchsian groups. (Chinese. English summary) Zbl 0903.30031
In this paper the following theorem is shown: If \(\Gamma\) is a Fuchsian group and \(G\) is the \(Z\Gamma\)-module, then \(H^i(\Gamma,G)\approx \oplus_{\Theta}\ker (G_\theta\to G^\theta)\) as \(i\) is an odd number \(>1\) and \(H^i(\Gamma, G)\approx\oplus_\Theta G^\theta/NG\) as \(i\) is an even number \(>2\).
Reviewer: Li Zhong (Beijing)
MSC:
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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