Characterization of the mod 3 cohomology of 𝐸₇

Kono, Akira; Lin, James; Nishimura, Osamu

doi:10.1090/S0002-9939-03-07024-2

Characterization of the mod 3 cohomology of $E_7$
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by Akira Kono, James P. Lin and Osamu Nishimura PDF

Proc. Amer. Math. Soc. 131 (2003), 3289-3295 Request permission

Abstract:

It is shown that the mod 3 cohomology of a homotopy associative mod 3 $H$-space which is rationally equivalent to the Lie group $E_7$ and which has integral 3-torsion is isomorphic to that of $E_7$ as a Hopf algebra over the mod 3 Steenrod algebra.

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