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, let $G(p,3)=C_p⋊C_3$, and put $\Lambda =\mathbb{Z}[G(p,3)]$. We study tensor products of $\Lambda$-lattices representing syzygies and generalised syzygies of the t…