Dario Ascari, Federica Bertolotti, Giovanni Italiano, Claudio Llosa Isenrich, Matteo Migliorini
Published 2025-02-05Version 1
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 $\mathcal{F}_{n-1}$ and of corank $r\leq n-2$ have quadratic Dehn functions.
Comments: The paper arXiv:2406.19860v1 was split into two parts. This is the second part (Theorem B and E of the original version). The first part is available at arXiv:2406.19860v2. 27 pages, 3 figures
Dehn functions of subgroups of products of free groups: 3-factor case, $F_{n-1}$ case, and Bridson-Dison group
Rank gradient of sequences of subgroups in a direct product
Dehn functions of coabelian subgroups of direct products of groups
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