Syzygy Computations and the D(2)-Problem for the Metacyclic Group G(p,3)

J. D. P. Evans, R. Sanchez Galan

Let $p=3d+1$ be prime in which $(\mathbb{Z}/p\mathbb{Z}{)}^{\times }=⟨2,3⟩$, and let $\hat{I}›=\mathbb{Z}[C_p⋊C_3]$ be the integral group ring of the metacyclic group $G…