Maps between p-completions of the Clark-Erwing spaces.
Résumé
Let $\mathbf {Z}_p$ denote the ring of p-adic integers. Let $W\subset \mathrm {GL}(n,\mathbf {Z}_p)$ be a finite group such that p does not divide the order of W. The group W acts on $K((\mathbf {Z}_p)^n,2)$. Let X(W,p,n)p be the p-completion of the space $K((\mathbf {Z}_p)^n,2)\times _W EW$. We classify homotopy classes of maps between spaces X(W,p,n)p