Unramified extensions of some cyclic quartic fields

  • Mohammed Talbi Mohamed First University
  • Abdelmalek Azizi Mohamed First University
  • Idriss Jerrari Regional center of Education and Training

Resumo

In this paper we determine the fourteen unramified extensions for some cyclic quartic fields $K$ whose $2$-class group $C_{K,2}$ is isomorphic to ${\mathbb{Z}}/{2{\mathbb{Z}}}\times {\mathbb{Z}}/{2{\mathbb{Z}}} \times {\mathbb{Z}}/{2{\mathbb{Z}}}$  and to characterize the generators of $C_{K,2}$.

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Biografia do Autor

Mohammed Talbi, Mohamed First University
Department of Mathematics and Computer Sciences
Faculty of Sciences
60000 Oujda
Abdelmalek Azizi, Mohamed First University
Department of Mathematics and Computer Sciences
Faculty of Sciences
60000 Oujda
Idriss Jerrari, Regional center of Education and Training
Regional center of Education and Training
60000 Oujda, Morocco
Publicado
2018-01-01
Seção
Artigos