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Groups of type FP via graphical small cancellation

Groups of type FP via graphical small cancellation
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. 
1661-7207
Brown, Thomas
cc71b1fd-0d91-4320-a655-3758af716351
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Brown, Thomas
cc71b1fd-0d91-4320-a655-3758af716351
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e

Brown, Thomas and Leary, Ian (2024) Groups of type FP via graphical small cancellation. Groups, Geometry and Dynamics. (In Press)

Record type: Article

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. 

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More information

Accepted/In Press date: 6 March 2024
Additional Information: A version of this article appeared on ArXiv as a preprint in 2020.

Identifiers

Local EPrints ID: 487867
URI: http://eprints.soton.ac.uk/id/eprint/487867
ISSN: 1661-7207
PURE UUID: 882c2110-208d-4788-bf3a-4dc9bcf661c5
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 07 Mar 2024 17:42
Last modified: 17 May 2024 01:42

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Contributors

Author: Thomas Brown
Author: Ian Leary ORCID iD

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