Maximal subgroup growth of a few polycyclic groups

Andrew James Kelley, Elizabeth Ciorsdan Dwyer Wolfe

We give here the exact maximal subgroup growth of two classes of polycyclic groups. Let $G_k=⟨x_1,x_2,...,x_k\mid x_i{x}_j{x}_i^{-1}{x}_j\text{ for all }i<j⟩$. So…