2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230081In this paper, we proved that the F_p completioin of fundamental group of an F_p shceme can be computed by the bar complex of Artien-Schreier differential graded algebra. Artin-Schreier differential graded algebra is obtained by a relation diagram of identity map and frobenius map by Kats' theorem.LaTeX2e 32pagesAlgebraic GeometryNumber TheoryThe Artin-Schreier DGA and the F_p fundamental group of an F_p schemetext