On the mod-$\ell$ homology of the classifying space for commutativity

Cihan Okay, Ben Williams

We study the mod-$\ell$ homotopy type of classifying spaces for commutativity, $B(\mathbb{Z},G)$, at a prime $\ell$. We show that the mod-$\ell$ homology of $B(\mathbb{Z},G)$ dep…