Homotopy classification of $4$-manifolds with fundamental group $\mathbb{Z}/p⋊\mathbb{Z}$

Kamen Pavlov

For an odd prime $p$, we show that the homotopy type of a closed $4$-manifold with fundamental group $\mathbb{Z}/p⋊\mathbb{Z}$ is determined by its quadratic $2$-type toget…