**The structure of the group of special automorphisms of the deformed group
of diffeomorphisms**

**Abstract:**

The geometrical structure of Riemannian space can be set with the help of
the deformed group of diffeomorphisms, thus information about curvature of
space is contained in the third order of expansion of the multiplication
law. The structure of an infinite group of automorphisms of the deformed
group of diffeomorphisms, related to parallel transports of the vector
fields and its action on group manifold and tangent vectors are studied.
There is a Riemann-Cristoffel curvature tensor among the structural
functions of the group; a covariant derivative performs a role of one of the
group generators. It is shown that the structural equations of such group
coincide with structural equations of the curved space of the torsion-free
affine connection with variable curvature.