Groups of type via graphical small cancellation

  • Thomas M. Brown

    University of Southampton, Southampton, UK
  • Ian J. Leary

    University of Southampton, Southampton, UK
Groups of type $FP$ via graphical small cancellation cover
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Abstract

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

Cite this article

Thomas M. Brown, Ian J. Leary, Groups of type via graphical small cancellation. Groups Geom. Dyn. 19 (2025), no. 1, pp. 1–35

DOI 10.4171/GGD/796