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Free crossed resolutions for graph products of groups

Ronald Brown·Manuel Bullejos·Timothy Porter
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Abstract

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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Ronald Brown, Manuel Bullejos, Timothy Porter. 2002-07-05. Free crossed resolutions for graph products of groups. https://arxiv.org/abs/math/0101220

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