Expanding phenomena over matrix rings

Yeşim Demiroğlu Karabulut, Doowon Koh, Thang Pham +2

In this paper, we study expanding phenomena in the setting of matrix rings. More precisely, we will prove that If $A$ is a set of $M_2({\mathbb{F}}_q)$ and $|A|\gg q^{7/2}$, then we…