Answer by Will Sawin for Subgroups of the multiplicative group of a finite...
If we let $S$ be the set of characters of $\mathbb F_p^\times$ trivial on $G$ then $$\sum_{\chi \in S} \chi(g) = \begin{cases} \frac{p-1}{|G|} & g\in G \\ 0 & g\notin G \end{cases}$$so...
View ArticleSubgroups of the multiplicative group of a finite field satisfying a certain...
Let $G \subseteq \mathbb F_p^*$ be a subgroup. Then $G$ is called almost trivial if $G \cap (2-G)$ consists of the element 1.Then I am wondering how big $G$ can be in terms of $p$. If $G$ is a random...
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