2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70378We introduce a tree structure for the iterates of symmetric bimodal maps and identify a subset which we prove to be isomorphic to the family of unimodal maps. This subset is used as a second factor for a $\ast $-product that we define in the space of bimodal kneading sequences. Finally, we give some properties for this product and study the *-product induced on the associated Markov shifts.Dynamical SystemsMathematical Physics37E05, 37B10; 37E20, 37B99text