Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.09992 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914808742281216 |
|---|---|
| author | Padilla, Diego Fernando Díaz Arango, Jesús Alonso Ochoa |
| author_facet | Padilla, Diego Fernando Díaz Arango, Jesús Alonso Ochoa |
| contents | 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 $χ$ 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 $χ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09992 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On an uncertainty principle for small index subgroups of finite fields Padilla, Diego Fernando Díaz Arango, Jesús Alonso Ochoa Number Theory Information Theory Commutative Algebra Group Theory 43A32, 42A99, 43A25, 42A38, 15A15 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 $χ$ 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 $χ$. |
| title | On an uncertainty principle for small index subgroups of finite fields |
| topic | Number Theory Information Theory Commutative Algebra Group Theory 43A32, 42A99, 43A25, 42A38, 15A15 |
| url | https://arxiv.org/abs/2310.09992 |