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On the simplicity of homeomorphism groups of a tilable lamination

Dynamical Systems 2014-08-07 v1

Abstract

We show that the identity component of the group of homeomorphisms that preserve all leaves of a R^d-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain a similar result for a dense subgroup of homeomorphisms.

Keywords

Cite

@article{arxiv.1408.1337,
  title  = {On the simplicity of homeomorphism groups of a tilable lamination},
  author = {José Aliste-Prieto and Samuel Petite},
  journal= {arXiv preprint arXiv:1408.1337},
  year   = {2014}
}

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14 p