La suspension homologue pour les CW-complexes quotients d'actions libres de $((Z/2)^n$

Abstract

This note shows that the $n$-th homology suspension is surjective for certain quotients of finite $((Z/2)^n$-CW.complexes. This is true as soon as the equivariant $((Z/2)^n$-cohomology are quotients is a free $H^*$((Z/2)^n$-module. An application is given to certain Brown-Gitler spectrum.