2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52164A link between matroid theory and $p$-branes is discussed. The Schild type action for $p$-branes and matroid bundle notion provide the two central structures for such a link. We use such a connection to bring the duality concept in matroid theory to $p$-branes physics. Our analysis may be of particular interest in M-theory and in matroid bundle theory.12 pages, Latex, the formulae (30) and (31)have been added; the equations (32)-(38) and the references [12]-[15] have been added. Minor typos correctedHigh Energy Physics - TheoryCombinatoricstext