Abelian subgroups generated by Dehn twists in homeomorphism group

@article{Permyakov2013AbelianSG,
  title={Abelian subgroups generated by Dehn twists in homeomorphism group},
  author={Dmitrii Alekseevich Permyakov},
  journal={Moscow University Mathematics Bulletin},
  year={2013},
  volume={68},
  pages={42-47}
}
The subgroup of homeoniorphisni group generated by Dehn twists along the set of simple closed pairwise non-homotopic curves with some conditions is studied. It is proved that this group is isomorphic to a free Abelian group of rank k, where k is the number of curves in the set. In the case of an orientable surface, this result is classical. 

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