Dehn functions of subgroups of products of free groups. Part II: Precise computations

Abstract

We prove that the Bridson-Dison group has quartic Dehn function, thereby providing the first precise computation of the Dehn function of a subgroup of a direct product of free groups with super-quadratic Dehn function. We also prove that coabelian subgroups of direct products of n free groups of finiteness type Fn-1 and of corank r≤ n-2 have quadratic Dehn functions.

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