Fat minors in finitely presented groups
Group Theory
2025-06-05 v2 Combinatorics
Metric Geometry
Abstract
We show that a finitely presented group virtually admits a planar Cayley graph if and only if it is asymptotically minor-excluded, partially answering a conjecture of Georgakopoulos and Papasoglu in the affirmative.
Keywords
Cite
@article{arxiv.2408.10748,
title = {Fat minors in finitely presented groups},
author = {Joseph MacManus},
journal= {arXiv preprint arXiv:2408.10748},
year = {2025}
}
Comments
19 pages, 7 figures; Final version, to appear in Combinatorica