THOMPSON'S GROUP IS DISTORTED IN THE THOMPSON-STEIN GROUPS

@article{Wladis2011THOMPSONSGI,
  title={THOMPSON'S GROUP IS DISTORTED IN THE THOMPSON-STEIN GROUPS},
  author={Claire Wladis},
  journal={Pacific Journal of Mathematics},
  year={2011},
  volume={250},
  pages={473-485}
}
  • Claire Wladis
  • Published 2011
  • Mathematics
  • Pacific Journal of Mathematics
We show that the inclusion map of the generalized Thompson groups F(n i ) is exponentially distorted in the Thompson―Stein groups F(n 1 , ... , n k ) for k > 1. One consequence is that F is exponentially distorted in F(n 1 ,..., n k ) for k > 1 whenever n i = 2 m for some m (whenever no i, m exist such that n i = 2 m , there is no obviously "natural" inclusion map of F into F (n 1 ,..., n k )). This is the first known example in which the natural embedding of one of the Thompson-type groups… Expand

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