Isoperimetric behavior of generalized Stallings-Bieri groups
Group Theory
2025-09-15 v1
Abstract
We introduce the notion of -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.
Cite
@article{arxiv.2509.09939,
title = {Isoperimetric behavior of generalized Stallings-Bieri groups},
author = {Noel Brady and Pratit Goswami and Rob Merrell},
journal= {arXiv preprint arXiv:2509.09939},
year = {2025}
}
Comments
49 pages, 8 figures