On some metabelian 2-group whose abelianization is of type (2, 2, 2) and applications

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

Let $G$ be some metabelian $2$-group satisfying the condition $G/G^{\prime }\simeq \mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z}$. In this paper, we constru…