Some zero-sum problems over $⟨x,y\mid x^2=y^{n/2},y^n=1,yx=x{y}^s⟩$

Sávio Ribas

Let $n\ge 8$ be even, and let $G=⟨x,y\mid x^2=y^{n/2},y^n=1,yx=x{y}^s⟩$, where $s^2\equiv 1(\mathrm{mod}n)$ and $s\not\equiv \pm 1(\mathrm{mod}n)$. In this paper, we pr…