2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168703We give a conjectural description for the kernel of the map assigning to each finite $\mathbb Z_p$-free $G\times\mathbb Z_p$-set its rational permutation module where G is a finite p-group. We prove that this conjecture is true when G is an elementary abelian p-group or a cyclic p-group.10 pages with 2 figuresAlgebraic Topology19A22text