2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126190We prove a version of Garaev's sum product theorem in the set of finite fields with non-prime order. Because of the presence of subfields, this seems to require some hypotheses on the set. We work under a condition analogous to having Hausdorff dimension less than 1/2. Under these conditions, we obtain a sum-product theorem with exponent 49/48.8 pagesNumber TheoryClassical Analysis and ODEs11T99 05D99text