Article contents
Totally Real Subfields of p-Adic Fields having the Symmetric Group as Galois Group
Published online by Cambridge University Press: 20 November 2018
Extract
In this paper, an elementary proof is given of the following proposition:
Theorem 1. If Qp is an arbitrary field of p-adic numbers, then it contains normal subfields Ln(2 ≤ n ≤ p) which have symmetric groups Sn as their respective Galois groups over Q, the field of rational numbers. Furthermore, each Ln may be chosen to be totally real.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1971
References
- 1
- Cited by