On automorphisms of commutative Moufang loops

It is proved that the automorphism group of any commutative Moufang loop $Q$ is an extension of the group $F(1)$ consisting of all automorphisms of the loop $Q$ which induce the identity mapping onto the factor-loop $Q/A(Q)$ of $Q$ by means of the automorphism group of the abelian group $Q/A(Q)$. We investigate the structure of the group $F(1)$ in the cases where the loop $Q$ is either centrally nilpotent, or finitely generated, or is a $ZA$-loop.