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

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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ORCID for Ian Leary: orcid.org/0000-0001-8300-4979

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