On the 2-class field tower of subfields of some cyclotomic ℤ2-extensions-Reference-Cited by-同舟云学术

On the 2-class field tower of subfields of some cyclotomic ℤ2-extensions

Published:2019-01-22 Issue:1 Volume:69 Page:81-86
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Mouhib Ali¹²

Affiliation:

1. Department of Mathematics King Khalid University P.O. Box 9004 , Abha , Saudi Arabia

2. Univ. Mohammed Ben Abdellah, Fes LSI , Sciences and Engineering Laboratory Polydisciplinary Faculty of Taza , B.P 1223 , Taza-Gare , Morocco

Abstract

Abstract 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 2 n .

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0204/pdf

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