2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74412The Foata bijection $Φ: S_n \to S_n$ is extended to the bijections $Ψ: A_{n+1} \to A_{n+1}$ and $Ψ_q : S_{n+q-1} \to S_{n+q-1}$, where S_m, A_m are the symmetric and the alternating groups. These bijections imply bijective proofs for recent equidistribution theorems, by Regev and Roichman, for A_{n+1} and for S_{n+q-1}.16 pagesCombinatorics05A15, 05A19text