Bound on the diameter of split metacyclic groups

Kashyap Rajeevsarathy, Siddhartha Sarkar

Let $G_{m,n,k}={\mathbb{Z}}_m{⋉}_k{\mathbb{Z}}_n$ be the split metacyclic group, where $k$ is a unit modulo $n$. We derive an upper bound for the diameter of $G_{m,n,k}$ using…