On $p$-class groups of relative cyclic $p$-extensions
Number Theory
2021-05-10 v1
Abstract
We prove a general stability theorem for -class groups of number fields along relative cyclic extensions of degree , 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 pseudo-null Iwasawa module over a certain -adic Lie extension.
Cite
@article{arxiv.2003.06546,
title = {On $p$-class groups of relative cyclic $p$-extensions},
author = {Yasushi Mizusawa and Kota Yamamoto},
journal= {arXiv preprint arXiv:2003.06546},
year = {2021}
}
Comments
7 pages. Archiv der Mathematik (2021)