  We introduce a noncommutative and noncocommutative Hopf algebra which takes
for certain Hopf categories (and therefore braided monoidal bicategories) a
similar role as the Grothendieck- Teichmueller group for quasitensor
categories. We also give a result which highly restricts the possibility for
similar structures for even higher weak n-categories than bicategories by
showing that these structures would not allow for any nontrivial deformations.
Finally, we give an explicit description of the elements of this Hopf algebra.
