2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224803We show that the Rothenberg--Steenrod spectral sequence converging to the mod 3 cohomology of the classifying space of the exceptional Lie group E_8 does not collapse at the E_2-level.This is the version published by Geometry & Topology Monographs on 29 January 2007Algebraic Topology55R40, 55T99On the Rothenberg-Steenrod spectral sequence for the mod 3 cohomology of the classifying space of the exceptional Lie group E_8text