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.
Publié le : 1999-05-15
Classification:
55S20,
55P45,
55R35,
55S45
@article{1250517818,
author = {Hemmi, Yutaka and Lin, James P.},
title = {Odd generators of the mod 3 cohomology of finite $H$-spaces},
journal = {J. Math. Kyoto Univ.},
volume = {39},
number = {4},
year = {1999},
pages = { 619-647},
language = {en},
url = {http://dml.mathdoc.fr/item/1250517818}
}
Hemmi, Yutaka; Lin, James P. Odd generators of the mod 3 cohomology of finite $H$-spaces. J. Math. Kyoto Univ., Tome 39 (1999) no. 4, pp. 619-647. http://gdmltest.u-ga.fr/item/1250517818/