Dehn functions and finiteness properties of graph products Original Research Article

D.E. Cohen has recently shown that certain properties of graph products (specifically, the type of isoperimetric function as well as certain finiteness properties) are similar to those satisfied by the vertex groups. In this paper we obtain converses of D.E. Cohenʹs results, thus characterizing the above-mentioned properties of a graph product in terms of the analogous properties of its vertex subgroups.