Open Access
March 2018 A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
Genki Omori
Hiroshima Math. J. 48(1): 81-88 (March 2018). DOI: 10.32917/hmj/1520478025

Abstract

We give a small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists. The difference between the number of the generators and a lower bound of numbers of generators for the twist subgroup by Dehn twists is one. The lower bounds is obtained from an argument of Hirose [5].

Citation

Download Citation

Genki Omori. "A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists." Hiroshima Math. J. 48 (1) 81 - 88, March 2018. https://doi.org/10.32917/hmj/1520478025

Information

Received: 10 April 2017; Revised: 9 August 2017; Published: March 2018
First available in Project Euclid: 8 March 2018

zbMATH: 06901789
MathSciNet: MR3772002
Digital Object Identifier: 10.32917/hmj/1520478025

Subjects:
Primary: 20F05 , 57M07 , 57S05

Keywords: Dehn twist , mapping class group , non-orientable surface

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

Vol.48 • No. 1 • March 2018
Back to Top