The behavior of the divergent parr of the bulk AdS/CFT effective action is
considered with respect to the special finite diffeomorphism transformation
s acting on the boundary as a Weyl transformation of the boundary metric. T
he resulting 1-cocycle of the Weyl group is in full agreement with the 1-co
cycle of the Weyl group obtained from the cohomological consideration of th
e effective action of the corresponding CFT. (C) 2001 Published by Elsevier
Science B.V.