On the structure of the 2-Iwasawa module of some number fields of degree 16
Idriss Jerrari; Abdelmalek Azizi
Czechoslovak Mathematical Journal (2022)
- Volume: 72, Issue: 4, page 1145-1156
- ISSN: 0011-4642
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topJerrari, Idriss, and Azizi, Abdelmalek. "On the structure of the 2-Iwasawa module of some number fields of degree 16." Czechoslovak Mathematical Journal 72.4 (2022): 1145-1156. <http://eudml.org/doc/298923>.
@article{Jerrari2022,
abstract = {Let $K$ be an imaginary cyclic quartic number field whose 2-class group is of type $(2, 2, 2)$, i.e., isomorphic to $\mathbb \{Z\}/2\mathbb \{Z\}\times \mathbb \{Z\}/2\mathbb \{Z\}\times \mathbb \{Z\}/2\mathbb \{Z\}$. The aim of this paper is to determine the structure of the Iwasawa module of the genus field $K^\{(*)\}$ of $K$.},
author = {Jerrari, Idriss, Azizi, Abdelmalek},
journal = {Czechoslovak Mathematical Journal},
keywords = {cyclic quartic field; cyclotomic $\mathbb \{Z\}_2$-extension; 2-Iwasawa module; 2-class group; 2-rank},
language = {eng},
number = {4},
pages = {1145-1156},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the structure of the 2-Iwasawa module of some number fields of degree 16},
url = {http://eudml.org/doc/298923},
volume = {72},
year = {2022},
}
TY - JOUR
AU - Jerrari, Idriss
AU - Azizi, Abdelmalek
TI - On the structure of the 2-Iwasawa module of some number fields of degree 16
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1145
EP - 1156
AB - Let $K$ be an imaginary cyclic quartic number field whose 2-class group is of type $(2, 2, 2)$, i.e., isomorphic to $\mathbb {Z}/2\mathbb {Z}\times \mathbb {Z}/2\mathbb {Z}\times \mathbb {Z}/2\mathbb {Z}$. The aim of this paper is to determine the structure of the Iwasawa module of the genus field $K^{(*)}$ of $K$.
LA - eng
KW - cyclic quartic field; cyclotomic $\mathbb {Z}_2$-extension; 2-Iwasawa module; 2-class group; 2-rank
UR - http://eudml.org/doc/298923
ER -
References
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