Abstract
In this paper we derive a formula about the action of $\mathscr{P}^{1}$ on the odd generators of the mod 3 cohomology of a finite simply connected mod 3 $H$-space with associative mod 3 homology. This formula will be used in a subsequent paper to classify all possible cohomology rings that can occur as the mod 3 cohomology of such $H$-spaces.
Citation
Yutaka Hemmi. James P. Lin. "Odd generators of the mod 3 cohomology of finite $H$-spaces." J. Math. Kyoto Univ. 39 (4) 619 - 647, 1999. https://doi.org/10.1215/kjm/1250517818
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