Additive decompositions of large multiplicative subgroups in finite fields
Chi Hoi Yip · Acta Arithmetica · 2024
We show that a large multiplicative subgroup of a finite field $\mathbb F_q$ cannot be decomposed into $A+A$ or $A+B+C$ nontrivially. We also find new families of multiplicative subgroups that cannot be decomposed as the sum of two sets nontrivially. In p