Damian Orlef

collaborators

2 papers

math.GR2026

Random groups in the square model have property (T) at densities over $\frac{5}{12}$

Damian Orlef, Tomasz Odrzygóźdź

A random group in the square model $Q (n, d)$ is given by a presentation with $n$ generators and a uniformly random set of $(2 n - 1)^{4 d}$ cyclically reduced relators of leng…

math.GR2021

Non-orderability of random triangular groups by using random 3CNF formulas

Damian Orlef

We show that a random group $Γ$ in the triangular binomial model $Γ (n, p)$ is a.a.s. not left-orderable for $p \in (c n^{- 2}, n^{- 3/2 - ε})$ , where $c, ε$ are any co…

Random groups in the square model have property (T) at densities over 125​

Non-orderability of random triangular groups by using random 3CNF formulas

Random groups in the square model have property (T) at densities over $\frac{5}{12}$