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The generation conjecture for the mod 2 cohomology of $BE_8$
Generation conjecture for $BE_8$ . The mod $2$ cohomology of $BE_8$ is generated by these two elements as an algebra over the mod $2$ Steenrod algebra.
Conjectureopenalgebraic-topology cohomology-of-classifying-spaces exceptional-lie-groupsarXiv posted 2 days ago

The generation conjecture for the mod 2 cohomology of BE8BE_8BE8​