3 problems

A variant of the Segal conjecture. On morphism sets, the functor $\mathbb{AG}\to\operatorname{Ho}(\mathord{\mathrm{Sp}})$ completes $\mathbb{AG}(G,H)$ at the augmentation ideal $I$…

Let $k$ and $\mathbb{F}$ be fields of characteristic $0$, let $T$ be a finite group, and let $(kR_{\mathbb{F}})_T$ denote the Green biset functor obtained by shifting the Green bis…

Let $A$ be a Green biset functor defined on a class of groups $\mathcal{Z}$ closed under subquotients and direct products, with values over a commutative ring with identity $R$. Fo…