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11 Number theory
11Rxx Algebraic number theory: global fields (
1 articles
)
11R37 Class field theory (12 articles)
Mayer, Daniel C.
:
Bicyclic commutator quotients with one non-elementary component
.
(English).
Mathematica Bohemica
,
vol. 148 (2023), issue 2
,
pp. 149-180
Chems-Eddin, Mohamed Mahmoud
:
On units of some fields of the form $\mathbb {Q}\big (\sqrt 2, \sqrt {p}, \sqrt {q}, \sqrt {-l}\big )$
.
(English).
Mathematica Bohemica
,
vol. 148 (2023), issue 2
,
pp. 237-242
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
:
Note on the Hilbert 2-class field tower
.
(English).
Mathematica Bohemica
,
vol. 147 (2022), issue 4
,
pp. 513-524
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss
:
On the Hilbert $2$-class field tower of some imaginary biquadratic number fields
.
(English).
Czechoslovak Mathematical Journal
,
vol. 71 (2021), issue 1
,
pp. 269-281
Essahel, Said; Dakkak, Ahmed; Mouhib, Ali
:
Real quadratic number fields with metacyclic Hilbert $2$-class field tower
.
(English).
Mathematica Bohemica
,
vol. 144 (2019), issue 2
,
pp. 177-190
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
:
On the strongly ambiguous classes of some biquadratic number fields
.
(English).
Mathematica Bohemica
,
vol. 141 (2016), issue 3
,
pp. 363-384
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
:
Sur un problème de capitulation du corps $\mathbb {Q}(\sqrt {p_1p_2},\rm i)$ dont le $2$-groupe de classes est élémentaire
.
(French) [On a capitulation problem over the field $\mathbb {Q}(\sqrt {p_1p_2},\rm i)$ with elementary $2$-class group].
Czechoslovak Mathematical Journal
,
vol. 64 (2014), issue 1
,
pp. 11-29
Azizi, Abdelmalek; Mouhib, Ali
:
On the Hilbert $2$-class field tower of some abelian $2$-extensions over the field of rational numbers
.
(English).
Czechoslovak Mathematical Journal
,
vol. 63 (2013), issue 4
,
pp. 1135-1148
Azizi, Abdelmalek; Talbi, Mohammed
:
Capitulation dans certaines extensions non ramifiées de corps quartiques cycliques
.
(French) [Capitulation in certain nonramified extensions of cyclic quartic fields].
Archivum Mathematicum
,
vol. 44 (2008), issue 4
,
pp. 271-284
Azizi, Abdelmalek; Mouhib, Ali
:
Sur l'existence des corps biquadratiques $K$ dont le groupe de Galois du deuxième $2$-corps de classes de Hilbert par rapport à $K$ est semi-diédral
.
(French) [Existence of biquadratic fields $K$ for which the Galois group of the second Hilbert 2-class field with respect to $K$ is semidihedral].
Archivum Mathematicum
,
vol. 41 (2005), issue 3
,
pp. 253-263
Louboutin, Stéphane; Yang, Hee-Sun; Kwon, Soun-Hi
:
The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent $\le 2$
.
(English).
Mathematica Slovaca
,
vol. 54 (2004), issue 5
,
pp. 535-574
O jedenáctém a dvanáctém Hilbertově problému
.
(Czech) [On eleventh and twelfth Hilbert's problem].
Pokroky matematiky, fyziky a astronomie
,
vol. 19 (1974), issue 1
,
pp. 21-22
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