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

Genki Omori
Algebraic & Geometric Topology 17 (2017) 419–437
DOI: 10.2140/agt.2017.17.419
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.

Keywords
mapping class group, nonorientable surface, presentation
Mathematical Subject Classification 2010
Primary: 57M05, 57M07, 57M20
References
Publication
Received: 24 January 2016
Revised: 8 June 2016
Accepted: 1 July 2016
Published: 26 January 2017
Authors
Genki Omori
Department of Mathematics
Tokyo Institute of Technology
Oh-okayama
Meguro
Tokyo 152-8551
Japan