The second homology group of the level 2 mapping class group and extended Torelli group of an orientable surface (Q1296318)

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scientific article; zbMATH DE number 1317255
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English
The second homology group of the level 2 mapping class group and extended Torelli group of an orientable surface
scientific article; zbMATH DE number 1317255

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    The second homology group of the level 2 mapping class group and extended Torelli group of an orientable surface (English)
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    8 December 1999
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    The author proves two theorems on closed oriented surface of genus \(g\geq 3\). The first theorem states that the second homology group with \(\mathbb Q\) coefficients of the level 2 mapping class group \(\cong\mathbb Q\), the second one states that the second homology group with \(\mathbb Q\) coefficients of the extended Torelli group is finitely generated.
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