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math.GR2022★ 1 cited
Property (T) in random quotients of hyperbolic groups at densities above 1/3
Calum J. Ashcroft
We study random quotients of a fixed non-elementary hyperbolic group in the Gromov density model. Let be a finite presentation of a non-elementary…
math.GR2021
Link conditions for cubulation
Calum J. Ashcroft
We provide a condition on the links of polygonal complexes that is sufficient to ensure groups acting properly discontinuously and cocompactly on such complexes contain a virtually…
math.GR2017★ 2 cited
On random presentations with fixed relator length
C. J. Ashcroft, Colva M. Roney-Dougal
The standard model of random groups is a model where the relators are chosen randomly from the set of cyclically reduced words of length on an -element generatin…