Advanced Search
Home > Journals > Algebr. Geom. Topol. > Volume 17 > Issue 1 > Article
Open Access
2017 An infinite presentation for the mapping class group of a nonorientable surface
Genki Omori
Algebr. Geom. Topol. 17(1): 419-437 (2017). 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.

Citation

Download Citation

Genki Omori. "An infinite presentation for the mapping class group of a nonorientable surface." Algebr. Geom. Topol. 17 (1) 419 - 437, 2017. https://doi.org/10.2140/agt.2017.17.419

Information

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

zbMATH: 1357.57005
MathSciNet: MR3604381
Digital Object Identifier: 10.2140/agt.2017.17.419

Subjects:
Primary: 57M05 , 57M07 , 57M20

Keywords: mapping class group , nonorientable surface , presentation

Rights: Copyright © 2017 Mathematical Sciences Publishers

JOURNAL ARTICLE
 19 PAGES
DOWNLOAD PDF + SAVE TO MY LIBRARY
GET CITATION
< Previous Article
|
Next Article >
Vol.17 • No. 1 • 2017
MSP
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top