Algebraic & Geometric Topology

An infinite presentation for the mapping class group of a nonorientable surface

Genki Omori

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Abstract

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.

Article information

Source
Algebr. Geom. Topol., Volume 17, Number 1 (2017), 419-437.

Dates
Received: 24 January 2016
Revised: 8 June 2016
Accepted: 1 July 2016
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1510841317

Digital Object Identifier
doi:10.2140/agt.2017.17.419

Mathematical Reviews number (MathSciNet)
MR3604381

Zentralblatt MATH identifier
1357.57005

Subjects
Primary: 57M05: Fundamental group, presentations, free differential calculus 57M07: Topological methods in group theory 57M20: Two-dimensional complexes

Keywords
mapping class group nonorientable surface presentation

Citation

Omori, Genki. An infinite presentation for the mapping class group of a nonorientable surface. Algebr. Geom. Topol. 17 (2017), no. 1, 419--437. doi:10.2140/agt.2017.17.419. https://projecteuclid.org/euclid.agt/1510841317


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References

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