Volume 17, issue 1 (2017)
Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
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