On an uncertainty principle for small index subgroups of finite fields
Diego Fernando Díaz Padilla, Jesús Alonso Ochoa Arango · Open Mathematics · 2025
Abstract In this article, we continue the study of the nonvanishing minors property initiated by Garcia, Karaali, and Katz, for the compressed Fourier matrix attached to a subgroup H H of the multiplicative group of a finite field F q {{\mathbb{F}}}_{q} and a character χ \chi defined over H H . Here, we provide a characterization of this aforementioned property for symmetries arising from an index-3 subgroup H H and a nontrivial character χ \chi .