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18 April 2024
 
  » arxiv » math.GT/0012162

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Stable commutator length of a Dehn twist
Mustafa Korkmaz ;
Date 18 Dec 2000
Subject Geometric Topology; Group Theory MSC-class: 57M60, 57R17, 20J06, 20F38 | math.GT math.GR
AbstractIt is proved that the stable commutator length of a Dehn twist in the mapping class group is positive and the tenth power of a Dehn twist about a nonseparating simple closed curve is a product of two commutators. As an application a new proof of the fact that the growth rate of a Dehn twist is linear is given.
Source arXiv, math.GT/0012162
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