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. 

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Die Gruppe der Abbildungsklassen

M. Dehn
Acta Math. 69 • 1938
View 20 Excerpts
Highly Influenced

A finite presentation of the mapping class group of a punctured surface

S. Gervais
Topology 40 • 2001
View 6 Excerpts
Highly Influenced

Presentations for groups acting on simply-connected complexes

K. S. Brown
J. Pure Appl. Algebra 32 • 1984
View 7 Excerpts
Highly Influenced

Dehn Twists on Nonorientable Surfaces

MICHA L STUKOW
2006
View 3 Excerpts

The mapping class group of a nonorientable surface is generated by three elements and by four involutions

B. Szepietowski
Geom. Dedicata 117 • 2006
View 1 Excerpt

Automorphisms of Teichmüller modular groups

N. V. Ivanov
Lecture Notes in Math. 1346, Springer-Verlag • 1988
View 1 Excerpt

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