On the explicit Galois group of Q(a1,a2,⋯,an,ζd) over Q

Article Type

Research Article

Publication Title

Research in Number Theory

Abstract

Let S={a1,a2,⋯,an} be a finite set of non-zero integers. In [5], Karthick Babu and Anirban Mukhopadhyay calculated the explicit structure of the Galois group of multi-quadratic field Q(a1,a2,⋯,an) over Q. For a positive integer d⩾3, ζd denotes the primitive d-th root of unity. In this paper, we calculate the explicit structure of the Galois group of Q(a1,a2,⋯,an,ζd) over Q in terms of its action on ζd and ai for 1⩽i⩽n.

DOI

10.1007/s40993-024-00523-8

Publication Date

6-1-2024

Comments

Open Access; Green Open Access

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