Buch ; Online: On an uncertainty principle for small index subgroups of finite fields
2023
Abstract: In this paper we continue the study of the the nonvanishing minors property (NVM) initiated in [7] 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 ... ...
Abstract | In this paper we continue the study of the the nonvanishing minors property (NVM) initiated in [7] 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 nontrivial character $\chi$. Comment: 8 pages, Comments wellcome |
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Schlagwörter | Mathematics - Number Theory ; Computer Science - Information Theory ; Mathematics - Commutative Algebra ; Mathematics - Group Theory |
Erscheinungsdatum | 2023-10-15 |
Erscheinungsland | us |
Dokumenttyp | Buch ; Online |
Datenquelle | BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl) |
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