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On the $2$-class field tower of subfields of some cyclotomic $\mathbb{Z}2$-extensions

In: Mathematica Slovaca, vol. 69, no. 1
Ali Mouhib
Detaily:
Rok, strany: 2019, 81 - 86
Kľúčové slová:
class group, unit group, capitulation problem, Iwasawa theory of $\mathbb{Z}_2$-extensions
DOI: https://doi.org/10.1515/ms-2017-0204
O článku:
We study the structure of the Galois group of the maximal unramified $2$-extension of some family of number fields of large degree. Especially, we show that for each positive integer $n$, there exist infinitely many number fields with large degree, for which the defined Galois group is quaternion of order $2n$.
Ako citovať:
ISO 690:
Mouhib, A. 2019. On the $2$-class field tower of subfields of some cyclotomic $\mathbb{Z}2$-extensions. In Mathematica Slovaca, vol. 69, no.1, pp. 81-86. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0204

APA:
Mouhib, A. (2019). On the $2$-class field tower of subfields of some cyclotomic $\mathbb{Z}2$-extensions. Mathematica Slovaca, 69(1), 81-86. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0204
O vydaní:
Publikované: 24. 1. 2019