Groups of type $FP$ via graphical small cancellation

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.

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Publication Details

Journal
Groups Geometry and Dynamics
Published
2024-12-12
DOI
https://doi.org/10.4171/ggd/796
Citations
1
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Groups of type $FP$ via graphical small cancellation

Ian J. Leary, T. M. Brown
1 citations
Groups Geometry and Dynamics
Geometric and Algebraic Topology
article

Groups of type $FP$ via graphical small cancellation

Ian J. Leary, T. M. Brown
article en
1 citations

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.

Groups Geometry and DynamicsVol. 19(1)
University of Southampton (GB)
Sustainable cities and communities
Openalex Percentile: Top 100%
Geometric and Algebraic Topology
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Groups of type $FP$ via graphical small cancellation — Ian J. Leary, T. M. Brown · Groups Geometry and Dynamics (2024) | TGRS Research Map | TGRS