Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension

Mark N. Berman, Itay Glazer, Michael M. Schein

We consider pro-isomorphic zeta functions of the groups $\Gamma ({\mathcal{O}}_K)$, where $\Gamma$ is a unipotent group scheme defined over $\mathbb{Z}$ and $K$ varies over all number fields. U…