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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
The fundamental theorem of cubical small cancellation theory
Kasia Jankiewicz
We give a new proof of the main theorem in the theory of C(6) small cancellation complexes. We prove the fundamental theorem of cubical small cancellation theory for C(9) cubical s…