Vanishing conjecture for homology below virtual cohomological dimension

Let $\Gamma_{n,s}$ be the graph automorphism group with parameters $n$ and $s$, and let $2n+s-3$ be its virtual cohomological dimension. Below-vcd vanishing conjecture. All classes in $H_k(\Gamma_{n,s})$ for $0<k<2n+s-3$ vanish after a single stabilization with respect to $n$. This is presented as a consequence of the assembly-generation and stabilization-vanishing conjectures, so it remains open to the extent that those conjectures are unresolved.