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June 2008 A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves
Błażej Szepietowski
Osaka J. Math. 45(2): 283-326 (June 2008).

Abstract

We study the action of the mapping class group $\mathcal{M}(F)$ 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 $\mathcal{M}(F)$ 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.

Citation

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Błażej Szepietowski. "A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves." Osaka J. Math. 45 (2) 283 - 326, June 2008.

Information

Published: June 2008
First available in Project Euclid: 15 July 2008

zbMATH: 1152.57019
MathSciNet: MR2441942

Subjects:
Primary: 57N05
Secondary: 20F05, 20F38

Rights: Copyright © 2008 Osaka University and Osaka City University, Departments of Mathematics

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Vol.45 • No. 2 • June 2008
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