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On an uncertainty principle for small index subgroups of finite fields
Published 16 Oct 2023 in math.NT, cs.IT, math.AC, math.GR, and math.IT | (2310.09992v2)
Abstract: In this paper we continue the study of the nonvanishing minors property (NVM) initiated by Garcia, Karaali and Katz, for the compressed Fourier matrix attached to a subgroup $H$ of the multiplicative group of a finite field $\mathbb{F}_q$ and a character $\chi$ defined over $H$. Here we provide a characterization of this aforementioned property for \textit{symmetries} arising from an index-3 subgroup $H$ and a nontrivial character $\chi$.
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