Geodesic
An infinite presentation for the mapping class group of a nonorientable surface
Omori, Genki1
1Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152-8551, Japan
Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 419-437
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We give an infinite presentation for the mapping class group of a nonorientable surface. The generating set consists of all Dehn twists and all crosscap pushing maps along simple loops.

DOI : 10.2140/agt.2017.17.419
Classification : 57M05, 57M07, 57M20
Keywords: mapping class group, nonorientable surface, presentation

Omori, Genki  1

1 Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152-8551, Japan 
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Omori, Genki. An infinite presentation for the mapping class group of a nonorientable surface. Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 419-437. doi: 10.2140/agt.2017.17.419

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