On p-class groups of relative cyclic p-extensions

We prove a general stability theorem for p -class groups of number fields along relative cyclic extensions of degree p 2 , which is a generalization of a finite-extension version of Fukuda’s theorem by Li, Ouyang, Xu, and Zhang. As an application, we give an example of a pseudo-null Iwasawa module o...

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Veröffentlicht in:	Archiv der Mathematik 2021-09, Vol.117 (3), p.253-260
Hauptverfasser:	Mizusawa, Yasushi, Yamamoto, Kota
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics Number theory Theorems
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We prove a general stability theorem for p -class groups of number fields along relative cyclic extensions of degree p 2 , which is a generalization of a finite-extension version of Fukuda’s theorem by Li, Ouyang, Xu, and Zhang. As an application, we give an example of a pseudo-null Iwasawa module over a certain 2-adic Lie extension.
ISSN:	0003-889X 1420-8938
DOI:	10.1007/s00013-021-01619-8