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Uncountably many quasi-isometry classes of groups of type FP via graphical small cancellation theory

Uncountably many quasi-isometry classes of groups of type FP via graphical small cancellation theory
Uncountably many quasi-isometry classes of groups of type FP via graphical small cancellation theory
This thesis presents a construction of a new class of groups that are type FP but are not finitely presentable. This is the first such construction that does not rely on Morse theory on cubical complexes and so reinforces the rift between the algebraic property and its geometric counterpart. The central tool used here is small cancellation theory which allows us a comparatively simple way to prove the above claim and also allows
access to further results regarding these groups.
University of Southampton
Brown, Thomas
cc71b1fd-0d91-4320-a655-3758af716351
Brown, Thomas
cc71b1fd-0d91-4320-a655-3758af716351
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e

Brown, Thomas (2022) Uncountably many quasi-isometry classes of groups of type FP via graphical small cancellation theory. University of Southampton, Doctoral Thesis, 114pp.

Record type: Thesis (Doctoral)

Abstract

This thesis presents a construction of a new class of groups that are type FP but are not finitely presentable. This is the first such construction that does not rely on Morse theory on cubical complexes and so reinforces the rift between the algebraic property and its geometric counterpart. The central tool used here is small cancellation theory which allows us a comparatively simple way to prove the above claim and also allows
access to further results regarding these groups.

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Published date: January 2022

Identifiers

Local EPrints ID: 456817
URI: http://eprints.soton.ac.uk/id/eprint/456817
PURE UUID: 42d178f2-7d35-4180-833d-bc8ae0fe12e6
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 12 May 2022 16:33
Last modified: 13 May 2022 01:42

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Contributors

Author: Thomas Brown
Thesis advisor: Ian Leary ORCID iD

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