20 citations · 23 across the 7 of their papers we have counts for
5 papers · 1 filter
Random groups in the square model have property (T) at densities over
Damian Orlef, Tomasz Odrzygóźdź
A random group in the square model is given by a presentation with generators and a uniformly random set of cyclically reduced relators of leng…
Nonplanar isoperimetric inequality for random groups
Tomasz Odrzygóźdź
The goal of this note is to generalize Isoperimetric Inequality for random groups to the class of non-planar diagrams of bounded number of faces.
Bent walls for random groups in the square and hexagonal model
Tomasz Odrzygóźdź
We consider two random group models: the hexagonal model and the square model, defined as the quotient of a free group by a random set of reduced words of length four and six respe…
Cubulating random groups in the square model
Tomasz Odrzygóźdź
Our main result is that for densities a random group in the square model has the Haagerup property and is residually finite. Moreover, we generalize the Isoperimetr…
The square model for random groups
Tomasz Odrzygóźdź
We introduce a new random group model called the square model: we quotient a free group on generators by a random set of relations, each of which is a reduced word of length fo…