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arXiv · 2509.09939

Isoperimetric behavior of generalized Stallings-Bieri groups

Noel Brady·Pratit Goswami·Rob Merrell
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Abstract

We introduce the notion of $n$-split for an epimorphism from a group to a finite rank free abelian group. This is used to provide bounds for the Dehn functions of certain coabelian subgroups of direct products of finitely presented groups. Such subgroups include and significantly generalize the Stallings-Bieri groups.

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Noel Brady, Pratit Goswami, Rob Merrell. 2025-09-12. Isoperimetric behavior of generalized Stallings-Bieri groups. https://arxiv.org/abs/2509.09939

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