3 problems

Let $A$ be the mod $p$ Steenrod algebra, let $E_s$ be the elementary abelian group of rank $s$, and let $\mathscr{B}[s]$ be the subobject defined in the paper inside $H^*BE_s$. Wri…

The Singer-transfer Lannes–Zarati conjecture. The composition $j_s$ vanishes in every positive degree $t$ for $s\geq 3$. This is presented as a weak version of the graded-associate…

Let $\mathcal{A}$ be the mod-$2$ Steenrod algebra, let $D$ be the relevant normal sub-Hopf algebra, and let $\mathcal{E}$ be the family of sub-Hopf algebras used in the paper. For…