Mapping Class Groups of Nonorientable Surfaces
- Cite this article as:
- Korkmaz, M. Geometriae Dedicata (2002) 89: 107. doi:10.1023/A:1014289127999
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We obtain a finite set of generators for the mapping class group of a nonorientable surface with punctures. We then compute the first homology group of the mapping class group and certain subgroups of it. As an application we prove that the image of a homomorphism from the mapping class group of a nonorientable surface of genus at least nine to the group of real-analytic diffeomorphisms of the circle is either trivial or of order two.