Groups of type FP via graphical small cancellation

2020/04/09 by Thomas D. Brown, Brown, Thomas, Ian J. Leary +1
Mathematics · #20F65 #20J05 #57M07 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.48550/arxiv.2004.04550

openalex publication_date 2020/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an uncountable family of groups of type FP. In contrast to every previous construction of non-finitely presented groups of type FP we do not use Morse theory on cubical complexes; instead we use Gromov's graphical small cancellation theory.

Related

• Small cancellation labellings of some infinite graphs and applications
• Groups with graphical C(6) and C(7) small cancellation presentations
• Graphical small cancellation groups with the Haagerup property
• Complexes of groups and geometric small cancellation over graphs of groups
• Cubulating Small Cancellation Free Products