The mod 2 cohomology of the exceptional groups (Q1822104)

The author shows by purely homological arguments that if a simply connected finite H-space has the rational homotopy type of one of the exceptional Lie groups and the mod 2 Pontryagin ring is associative, then the mod 2 cohomology ring is isomorphic over the Steenrod algebra to that of the appropriate Lie group. The basic strategy used in the proof is standard; recent technical theorems quoted from the literature enable it to be completed.