On the problem of the distribution of gaps in the orders of the full groups of motions of general path spaces

A smooth $(2n-1)$-dimensional manifold $X_{2n-1}$ equipped with the structure of a tangent pseudovector bundle over a certain smooth $n$-dimensional base manifold $X_n$ is studied in this paper from a local point of view. Under the assumption that a special affine connection $\Lambda(x,y)$ is given in $X_{2n-1}$, a general path space $X_{n,y}$ is obtained.
The method used here is based on the isotropy groups of the first and second kind and the choice of special systems of coordinates.
Bibliography: 10 titles.