On a Generalization of the Bestvina-Brady Construction
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This work builds on work in  and  to study the homotopy fibre of a map between polyhedral products. The construction itself generalizes the definition of Bestvina-Brady group. Here we compute the cellular chain complex of the homotopy fibre. We also use properties of polyhedral products to decompose the homotopy fibre in terms of the map which underlies the construction.