49 citations · 218 across the 20 of their papers we have counts for
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math.GR2014
A sharper threshold for random groups at density one-half
Moon Duchin, Kasia Jankiewicz, Shelby C. Kilmer +3
In the density model of random groups, we consider presentations with any fixed number m of generators and many random relators of length l, sending l to infinity. If d is a "densi…
math.GR2014★ 4 cited
Conformal dimension via subcomplexes for small cancellation and random groups
John M. Mackay
We find new bounds on the conformal dimension of small cancellation groups. These are used to show that a random few relator group has conformal dimension 2+o(1) asymptotically alm…
math.GR2014★ 7 cited
Balanced walls for random groups
John M. Mackay, Piotr Przytycki
We study a random group G in the Gromov density model and its Cayley complex X. For density < 5/24 we define walls in X that give rise to a nontrivial action of G on a CAT(0) cube…