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Published online by Cambridge University Press: 22 January 2016
The purpose of the presnet paper is to study the relationship between the theory of Lie pseudogroups and the problem of integration of differential systems (cf. [6] pp. 30-47).
Let be a Lie pseudogroup on a manifold M and S a differentia] system on M. Let (S) denote the largest subpseudogroup of leaving S invariant. Then the problems to be considered may be stated as follows.