Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 pseudo-null Iwasawa module over a certain
$2$-adic Lie extension.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph