Jacobi's last multiplier and the complete symmetry group of the   Euler-Poinsot system
  The symmetry approach to the determination of Jacobi's last multiplier is inverted to provide a source of additional symmetries for the Euler-Poinsot system. These additional symmetries are nonlocal. They provide the symmetries for the representation of the complete symmetry group of the system. 
M.C. Nucci and P.G.L. Leach