  We study the group of all interval exchange transformations (IETs). We show
that for every IET $S$, there exists a dense open set of admissible IETs that
share a relation with $S$. This is an extension of a result published by
Dahmani, Fujiwara and Guirardel in 2013: the group generated by a generic pair
of elements of IET([0;1[) is not free (assuming a suitable condition on the
underlying permutation).
  Key words: interval exchange transformations, free group of rank 2, interval
exchange transformations with flips.
