3 problems

Let $R_p$ be the cofiber of the transfer map $B\Sigma_p\to S^0$, and let $\operatorname{eo}_{p-1}$ be the proposed connective spectrum associated to $EO_{p-1}$. The higher-prime tr…

Let $R_p$ be the cofiber of the transfer map $B\Sigma_p\to S^0$, and let $\operatorname{eo}_{p-1}$ be the proposed connective spectrum associated to $EO_{p-1}$. The indecomposabili…

Let $G$ be a finite group, let $\b5$ be a field of characteristic $p>0$, let $V$ be a $\b5 G$-module, and let $P$ be a Sylow-$p$-subgroup of $G$. For each subgroup $H\leq G$, let…