[For the entire collection see Zbl 0699.00032.] The author defines a general notion of a foliated groupoid over a foliation with singularities, within the framework of a (known) general notion of a differentiable structure. Then, he generalizes the classical correspondence between the subalgebras of Lie algebras and the subgroups of the corresponding Lie groups for this type of pseudogroups.
@article{702165,
title = {Foliated groupoids},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1990},
pages = {[127]-149},
mrnumber = {MR1061795},
zbl = {0707.57016},
url = {http://dml.mathdoc.fr/item/702165}
}
Lisiecki, Krzysztof. Foliated groupoids, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1990), pp. [127]-149. http://gdmltest.u-ga.fr/item/702165/