We study the module structure of the homology of Artin kernels, ie kernels
of nonresonant characters from right-angled Artin groups onto the
integer numbers, where the module structure is with respect to the ring
for
a field
of characteristic zero. Papadima and Suciu determined some part of this structure by
means of the flag complex of the graph of the Artin group. We provide more
properties of the torsion part of this module, eg the dimension of each primary part
and the maximal size of Jordan forms (if we interpret the torsion structure in terms
of a linear map). These properties are stated in terms of homology properties of
suitable filtrations of the flag complex and suitable double covers of an associated
toric complex.
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