A Matrix Model for Random Nilpotent Groups
A Matrix Model for Random Nilpotent Groups
We study random torsion-free nilpotent groups generated by a pair of random words of length |$\ell$| in the standard generating set of |$U_n(\mathbb{Z})$|. Specifically, we give asymptotic results about the step properties of the group when the lengths of the generating words are functions of |$n$|. We show that the …