A. Kelley

collaborators

3 papers

math.GR2019

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 $G_{k} = ⟨ x_{1}, x_{2}, ..., x_{k} ∣ x_{i} x_{j} x_{i}^{- 1} x_{j} for all i < j ⟩$ . So…

math.GR2018

Subgroup growth of all Baumslag-Solitar groups

Andrew James Kelley

This paper gives asymptotic formulas for the subgroup growth and maximal subgroup growth of all Baumslag-Solitar groups.

math.GR2018

Maximal subgroup growth of some metabelian groups

Andrew James Kelley

Let $m_{n} (G)$ denote the number of maximal subgroups of $G$ of index $n$ . An upper bound is given for the degree of maximal subgroup growth of all polycyclic metabelian groups $G$ (…