3 problems

Let $G$ be a group such that the classifying space for proper $G$-actions, $\underline{E}G$, has a finite model. Let $A_{\operatorname{ho}}(G)=\pi_G^0(\underline{E}G)$, let…

Let $G$ be a finite $p$-group, let $S_G$ be the genuinely $G$-equivariant sphere spectrum, and write … for the $G$-homotopy fixed points of a $G$-spectrum $X$. Graeme Segal's Burns…

Let $G$ be a finite $p$-group and let $X$ be a bounded below $G$-spectrum of finite type mod$p$. Write $X^G$ for its $G$-fixed points and $X^{hG}$ for its $G$-homotopy fixed points…