For q a non-negative integer, we introduce the internal q-homology of crossed modules and we obtain in the case q = 0 the homology of crossed modules. In the particular case of considering a group as a crossed module we obtain that its internal q-homology is the homology of the group with coefficients in the ring of the integers modulo q.The second internal q-homology of crossed modules coincides with the invariant introduced by Grandjeán and López, that is, the kernel of the universal q-central extension. Finally, we relate the internal q-homology of a crossed module to the homology of its classifying space with coefficients in the ring of the integers modulo q.
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