The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference March 7-9, 1996 Ball State University Muncie, Indiana

The First Homology of the Mapping Class Groups of Non-orientable Surfaces by Mustafa Korkmaz ( Michigan State University )

In this work, we compute the first homology groups of the mapping class groups of connected closed non-orientable surfaces. It turns out that they are isomorphic to Z₂ if the genus of the surface is at least seven. We conclude that the group of isometries of a vector space over Z₂ with the Euclidean symmetric bilinear form is perfect.