A REMARK ON THE NUMBER OF FROBENIUS CLASSES GENERATING THE GALOIS GROUP OF THE MAXIMAL UNRAMIFIED EXTENSION

A REMARK ON THE NUMBER OF FROBENIUS CLASSES GENERATING THE GALOIS GROUP OF THE MAXIMAL UNRAMIFIED EXTENSION

Assume that K is a number field and Kur is the max-imal unramified extension of it. When Gal(K ur =K) is an infinite group. It is known that Gal(K ur =K) is generated by finitely many Frobenius classes of Gal(K ur =K) by Y. Ihara. In this paper, we will give the explicit number of Frobenius classes...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Honam mathematical journal 2020-06, Vol.42 (2), p.213-218
Hauptverfasser: Jin, Seokho, Kim, Kwang-Seob
Format: Artikel
Sprache:kor
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Assume that K is a number field and Kur is the max-imal unramified extension of it. When Gal(K ur =K) is an infinite group. It is known that Gal(K ur =K) is generated by finitely many Frobenius classes of Gal(K ur =K) by Y. Ihara. In this paper, we will give the explicit number of Frobenius classes which generate whole group Gal(K ur =K).
ISSN:1225-293X