Explicit formulas for the cohomology of the elementary abelian $p$-groups

Constantin-Nicolae Beli

Let $G$ be an elementary abelian $p$-group, $G\cong {\mathbb{F}}_p^r$ and let $s_1,\dots ,s_r$ be a basis of $G$ over ${\mathbb{F}}_p$. Let $V$ be the dual of $G$, $V={\rm Hom}(G,{\ma…