Module structure of the homology of right-angled Artin kernels

In this paper, we study the module structure of homology Artin kernels, i.e., kernels non-resonant characters from right-angled groups onto integer numbers, being with respect to ring $\mathbb{K}[t^{\pm 1}]$, where $\mathbb{K}$ is a field characteristic zero. Papadima and Suciu determined some part by means flag complex graph group. work, provide more properties torsion module, e.g., dimension each primary maximal size Jordan forms (if interpret in terms linear map). These are stated suitable filtrations double covers an associated toric complex.