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Two Theorems on the Mapping Class Group of a Surface

Jerome Powell
Proceedings of the American Mathematical Society
Vol. 68, No. 3 (Mar., 1978), pp. 347-350
DOI: 10.2307/2043120
Stable URL: http://www.jstor.org/stable/2043120
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Two Theorems on the Mapping Class Group of a Surface
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Abstract

The mapping class group of a closed surface of genus $\geqslant 3$ is perfect. An infinite set of generators is given for the subgroup of maps that induce the identity on homology.

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