Mod 2 cohomology of 2-compact groups of low rank

Kaji, Shizuo

Kaji, Shizuo

J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 441-450 / Harvested from Project Euclid

Résumé

We determine the mod 2 cohomology algebra over the Steenrod algebra $\mathcal{A}_{2}$ of the classifying space of loop groups $LG$ where $G=Spin(7)$, $Spin(8)$, $Spin(9)$, $F_{4}$ and $DI(4)$. Then we show they are isomorphic as algebras over $\mathcal{A}_{2}$ to the mod 2 cohomology of the 2-compact groups of type $G$.

Publié le : 2007-05-15
Classification: 55R35, 55S10

@article{1250281055,
     author = {Kaji, Shizuo},
     title = {Mod 2 cohomology of 2-compact groups of low rank},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 441-450},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281055}
}

Kaji, Shizuo. Mod 2 cohomology of 2-compact groups of low rank. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  441-450. http://gdmltest.u-ga.fr/item/1250281055/