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

Organizers
John Emert, Kerry Jones, Roger Nelson

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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.

Date received: January 17, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-68.