We study the target space duality transformations in p-branes as transformations which mix the world volume field equations with Bianchi identities. We consider an (m+p+1)-dimensional space-time with p + 1 dimensions compactified, and a particular form of the background fields. We find that while a GL(2) = SL(2) x R group is realized when m = 0, only a two-parameter group is realized when m > 0.