Published in 
Journal of Gökova Geometry Topology, Volume 8 (2014) 
Title 
On power subgroups of mapping class groups 
Author 
Louis Funar

Abstract 
In the first part of this paper we
prove that the mapping class subgroups generated by the
Dth powers of Dehn twists (with D ≥ 2) along a sparse
collection of simple closed curves on an orientable
surface are right angled Artin groups.
The second part is devoted to power quotients,
i.e., quotients by the normal subgroup generated
by the Dth powers of all elements of the mapping class groups.
We show first that for infinitely
many values of D, the power quotient groups are nontrivial.
On the other hand, if 4g+2 does not divide
D then the associated power quotient of the mapping class group of
the genus g ≥ 3 closed surface is trivial.
Eventually, an elementary argument shows that
in genus 2 there are infinitely many power quotients
which are infinite torsion groups.

Keywords 
Mapping class group, Dehn twist, power subgroup,
symplectic group 
Pages  1434 
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Submitted:  Jun 20, 2014 
Accepted:  Nov 15, 2014 



