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(Co)homology of crossed modules with coefficients in a p₁-module

Simona Paoli

We define a cotriple (co)homology of crossed modules with coefficients in a $\p$-module. We prove its general properties, including the connection with the existing cotriple theories on crossed modules. We establish the relationship with the (co)homology of the classifying space of a crossed module and with the cohomology of groups with operators. An example and an application are given.

Homology, Homotopy and Applications, Vol. 5(2003), No. 1, pp. 261-296

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