Please use this identifier to cite or link to this item:
http://www.repositorio.ufop.br/jspui/handle/123456789/16129| Title: | Generators of finite fields with prescribed traces. |
| Authors: | Reis, Lucas Ribas, Sávio |
| Issue Date: | 2021 |
| Citation: | REIS, L.; RIBAS, S. Generators of finite fields with prescribed traces. Journal of the Australian Mathematical Society, v. 112, n. 3, p. 355-366, 2022. Disponível em: <https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/generators-of-finite-fields-with-prescribed-traces/0A947AFFFD3543C742D1D8AB3E4099B0>. Acesso em: 06 jul. 2022. |
| Abstract: | This paper explores the existence and distribution of primitive elements in finite field extensions with prescribed traces in several intermediate field extensions. Our main result provides an inequality-like condition to ensure the existence of such elements. We then derive concrete existence results for a special class of intermediate extensions. |
| URI: | http://www.repositorio.ufop.br/jspui/handle/123456789/16129 |
| metadata.dc.identifier.uri2: | https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/generators-of-finite-fields-with-prescribed-traces/0A947AFFFD3543C742D1D8AB3E4099B0 |
| metadata.dc.identifier.doi: | https://doi.org/10.1017/S1446788721000094 |
| ISSN: | 1446-8107 |
| Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ARTIGO_GeneratorsFiniteFields.pdf Restricted Access | 265,63 kB | Adobe PDF | View/Open |
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