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 -space which is rationally equivalent to the Lie group and which has integral 3-torsion is isomorphic to that of as a Hopf algebra over the mod 3 Steenrod algebra.