On the mod 2 cohomology algebra of oriented Grassmannians

Milica Jovanović, Branislav I. Prvulović

For $n\in \{2^t-3,2^t-2,2^t-1\}$ ($t\ge 3$) we study the cohomology algebra $H^{\ast }({\tilde{G}}_{n,3};{\mathbb{Z}}_2)$ of the Grassmann manifold ${\tilde{G}}_{n,3}$ of oriented $3$-dimen…