2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161008Higher order cohomology of arithmetic groups is expressed in terms of (g,K)-cohomology. Generalizing results of Borel, it is shown that the latter can be computed using functions of (uniform) moderate growth. A higher order versions of Borel's conjecture is stated, asserting that the cohomology can be computed using automorphic forms.LaTeX, 15 pagesNumber TheoryHigher order cohomology of arithmetic groupstext