2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230251This is a historical note. In 1974 I was an undergraduate student of L.D. Faddeev. I was working on quantum gravity [without matter] in one loop approximation. I discovered [simultaneously with G. t'Hooft M. Veltman] that on mass shell ultra-violet divergences cancel. The submission is a translation of the Diploma.Historical noteGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryCancellation of ultra-violet infinities in one loop gravitytext