A sharp threshold for collapse of the random triangular group

The random triangular group $Γ(n,p)$ is the group given by a random group presentation with $n$ generators in which every relator of length three is present independently with probability $p$. We show that in the evolution of $Γ(n,p)$ the property of collapsing to the trivial group admits a very sharp threshold.

No reviews yet.

No comments yet.