Two non-conjugate embeddings of $S_3 \times \mathbb{Z}_2$ into the Cremona group II

Abstract

We give a detailed proof of the following main result of [Isk1]. There are two non-conjugate embeddings of $S_3 \times \mathbb{Z}_2$ into the Cremona group given by the linear action of this group on the plane and the action on the two-dimensional torus respectively.