2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61221The cobordism group $N(M^n)$ of codimension-one immersions in the $n$-manifold $M^n$ has a natural filtration induced by any cellular decomposition. The problem addressed in this paper is the explicit computation of the graded group $gr^*N(M^n)$. We introduce some new invariants for immersions enlightening the Atiyah-Hirzebruch spectral sequence associated to $N(M)$, which are of combinatorial-geometric nature. Explicit computations are developed for $n\leq7$, and the group structure is also investigated for orientable 4-manifolds.revised version, G.A.F.A. (to appear), 23p., 3 figuresGeometric Topology57 M 50, 57 M 10text