On the determination of the group of gauge transformations in the gauge field theory

Existence of various types of gauge transformations (gT) in gauge theory and gravitational theory is established and their definitions in stratification formalism are given. It is noted that there is no any transformation of gravitational field not induced by transformation of reference system which leaves lagrangian and equations of gravitational theory invariant. That is each gT in gauge gravitational theory is of the first type. They form gauge GL+(4, R)x(X) group and gravitational theory can be constructed as gauge theory of GL+(4, R) group in which, however, gauge fields are reduced to gauge fields of Lorentz group and GL+(4, R) group represents the group of spontaneously broken symmetries with Lorentz subgroup of exact symmetries. This is a consequence of equivalence principle and is expressed in stratification terms in reduction of structural GL+(4, R) group of tangential and associated with it stratifications to Lorentz group, which results in interpretation of metrical gravitational field as the field of Goldstone type