Group Action Approaches in Erdos Quotient Set Problem

Will Burstein

Let ${\mathbb{F}}_q$ denote the finite field of $q$ elements. For $E\subset {\mathbb{F}}_q^d$, denote the distance set $Δ(E)= \{\|x-y\|^2:=(x_1-y_1)^2+ \cdots + (x_d-y_d)^2 : (x,y)\in…