A Presentation for the Mapping Class Group of a Non-orientable Surface from the Action on the Complex of Curves

@inproceedings{La2008APF,
title={A Presentation for the Mapping Class Group of a Non-orientable Surface from the Action on the Complex of Curves},
author={B La and Zej Szepietowski},
year={2008}
}

B La, Zej Szepietowski

Published 2008

We study the action of the mapping class group M(F ) on the complex of curves of a non-orientable surface F . Following the outline of [1] we obtain, using the result of [4], a presentation for M(F ) defined in terms of the mapping class groups of the complementary surfaces of collections of curves, provided that F is not sporadic, i.e. the complex of curves of F is simply connected. We also compute a finite presentation for the mapping class group of each sporadic surface.