Abstract
We show that every Dehn twist in the mapping class group of a closed, connected, orientable surface of genus at least two has a nontrivial root.
Citation
Dan Margalit. Saul Schleimer. "Dehn twists have roots." Geom. Topol. 13 (3) 1495 - 1497, 2009. https://doi.org/10.2140/gt.2009.13.1495
Information
Received: 31 October 2008; Revised: 30 December 2008; Accepted: 31 December 2008; Published: 2009
First available in Project Euclid: 20 December 2017
zbMATH: 1203.57007
MathSciNet: MR2496051
Digital Object Identifier: 10.2140/gt.2009.13.1495
Subjects:
Primary:
20F28
Keywords:
Dehn twist
,
elementary matrix
,
mapping class group
,
Nielsen transformation
,
root
Rights: Copyright © 2009 Mathematical Sciences Publishers
