Free crossed resolutions for graph products of groups

Mathematics – Algebraic Topology

Scientific paper

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18 pages, xypic version 2: 20/08/01 Main change is the use of work of H.J. Baues on realisation of morphisms of free crossed r

Scientific paper

The category of crossed complexes gives an algebraic model of the category of
$CW$-complexes and cellular maps. We explain basic results on crossed complexes
which allow the computation of free crossed resolutions of graph products of
groups, given free crossed resolutions of the individual groups.

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