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Characterization of the mod 3 cohomology of
Authors:Akira Kono   James P. Lin   Osamu Nishimura
Affiliation:Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan ; Department of Mathematics, University of California, San Diego, La Jolla, California 92093-0112 ; Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan
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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