Colloquium: Tullia Dymarz (UW-Madison)

Random Nilpotent Groups

Professor Tullia Dymarz

In group theory, any group can be defined by specifying generators and relations. But for infinite groups, when trying to define a model for a generic/random group, there are many options for how to vary these generators and relations. We will give an overview of one of the most popular models: Gromov’s density model and then present one of our own for torsion free nilpotent groups that is based on upper triangular matrices.