2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172806Let $sigma$ be a complete simplicial fan in finite dimensional real Euclidean space $V$, and let $G$ be a cyclic subgroup of $GL(V)$ which acts properly on $σ$. We show that the representation of $G$ carried by the cohomology of $X_{sigma}$, the toric variety associated to $sigma$, is a permutation representation.14 pagesCombinatorics20C10, 20B25text