2021-11-30T17:33:48Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000402302021-03-01T21:04:45ZFeuilletages Mesurés et Pseudogroupes d'Isométries du CercleGusmao, Paulo138828415application/pdfLet us consider non transversaly orientable measurable foliations of codimension one, on orientable open manifolds $M^n$, $n\ge 3$. We calculated the subgroups of finite type of two groups: one is the fundamental group $Π_1(BΓ)$ of the Haefliger's classifying space and the other is the quotient of $Π_1(M)$ by the normal subgroup ${\Cal L}'$ generated by free homotopy classes of the loops contained in the leaves. We use these groups to extend the result of G. Levitt to a no-orientable case. This result caracterize the finite type groups acting freely on a simply connected 1-manifold by $C^2$-diffeomorphism which preserves orientation. We study the pseudogroups of the isometries of the circle and we calculated the variation of the measure of the orbite space when we modified the length of the domain of the generators.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2000application/pdfJournal of mathematical sciences, the University of Tokyo37487508AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40230/files/jms070307.pdfeng