Yasushi Mizusawa, Kota Yamamoto
Published 2020-03-14Version 1
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 pseudo-null Iwasawa module over a certain $2$-adic Lie extension.
On the distribution of class groups of number fields
Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard $L$-function conjectures
A Classification of order $4$ class groups of $\mathbb{Q}{(\sqrt{n^2+1})}$
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