Zobrazeno 1 - 10 of 19 pro vyhledávání: '"Moulay Chrif Ismaili"'
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Akademický článek
The generators of $3$-class group of some fields of degree $6$ over $\mathbb{Q}$
Autor: Siham Aouissi, Moulay Chrif Ismaili, Mohamed Talbi, Abdelmalek Azizi
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 39, Iss 3 (2020)
Let be k=Q(\sqrt[3]{p},\zeta_3), where p is a prime number such that p \equiv 1 (mod 9), and let C_{k,3} the 3-component of the class group of k. In his work [7], Frank Gerth III proves a conjecture made by Calegari and Emerton which gives a necessar
Externí odkaz: https://doaj.org/article/57ae360c1d1e4aae95b8020f4cd1d1a1
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4
On the key-exchange protocol using real quadratic fields
Autor: Moulay Chrif ISMAILI, Abdelmalek Azizi
Publikováno v: Annals of the University of Craiova - Mathematics and Computer Science Series. 48:53-62
To prevent an exhaustive key-search attack of the key-exchange protocol using real quadratic fields, we need to ensure that the number l of reduced principal ideals in K is sufficiently large. In this paper we present an example of a family which are
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::44a5b6bbd39ec918faae76ba55305e38
https://doi.org/10.52846/ami.v48i1.1331
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5
The generators of $3$-class group of some fields of degree $6$ over $\mathbb{Q}$
Autor: Moulay Chrif Ismaili, Siham Aouissi, Mohamed Talbi, Abdelmalek Azizi
Publikováno v: Boletim da Sociedade Paranaense de Matemática. 39:37-52
Let $\mathrm{k}=\mathbb{Q}\left(\sqrt[3]{p},\zeta_3\right)$, where $p$ is a prime number such that $p \equiv 1 \pmod 9$, and let $C_{\mathrm{k},3}$ be the $3$-component of the class group of $\mathrm{k}$. In \cite{GERTH3}, Frank Gerth III proves a co
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb02bea679d2fe7823c67e11bba5c818
https://doi.org/10.5269/bspm.40672
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7
$3$-Principalization over $S_3$-fields
Autor: Daniel C. Mayer, Moulay Chrif Ismaili, Siham Aouissi, Mohamed Talbi
Let $p\equiv 1\,(\mathrm{mod}\,9)$ be a prime number and $\zeta_3$ be a primitive cube root of unity. Then $\mathrm{k}=\mathbb{Q}(\sqrt[3]{p},\zeta_3)$ is a pure metacyclic field with group $\mathrm{Gal}(\mathrm{k}/\mathbb{Q})\simeq S_3$. In the case
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::414395a134b8205474c047c360fb653e
http://arxiv.org/abs/2103.04184
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9
The Capitulation Problem for certain Number Fields
Autor: Moulay Chrif Ismaili, Abdelmalek Azizi, Mohammed Ayadi
Publikováno v: Class Field Theory – Its Centenary and Prospect, K. Miyake, ed. (Tokyo: Mathematical Society of Japan, 2001)
We study the capitulation problem for certain number fields of degree 3, 4, and 6. ¶(I) Capitulation of the 2-ideal classes of $\mathbb{Q}(\sqrt{d}, i)$ (by A. AZIZI) ¶Let $d \in \mathbb{N}$, $i = \sqrt{-1}$, $\mathbf{k} = \mathbb{Q}(\sqrt{d}, i)$,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80a9f44f2ab5677d1448a5491d3bc7ba
https://doi.org/10.2969/aspm/03010467
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10
$3$-rank of ambiguous class groups of cubic Kummer extensions
Autor: Abdelmalek Azizi, Daniel C. Mayer, Siham Aouissi, Moulay Chrif Ismaili, Mohamed Talbi
Let $k=k_0(\sqrt[3]{d})$ be a cubic Kummer extension of $k_0=\mathbb{Q}(\zeta_3)$ with $d>1$ a cube-free integer and $\zeta_3$ a primitive third root of unity. Denote by $C_{k,3}^{(\sigma)}$ the $3$-group of ambiguous classes of the extension $k/k_0$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::032bdedbf603db08f1aff9fbf007500b
http://arxiv.org/abs/1804.00767
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