Absolutely split metacyclic groups and weak metacirculants

Li Cui, Jin-Xin Zhou

Let $m,n,r$ be positive integers, and let $G=⟨a⟩:⟨b⟩\cong {\mathbb{Z}}_n:{\mathbb{Z}}_m$ be a split metacyclic group such that $b^{-1}ab=a^r$. We say that…