论文标题
在$ p $ - 类相对循环$ p $延伸的组中
On $p$-class groups of relative cyclic $p$-extensions
论文作者
论文摘要
我们证明了$ p $ - 类数字的一般稳定定理沿相对循环扩展$ p^2 $，这是对福卡（Li，Ouyang，Xu和Zhang）的有限扩展版本的概括。作为一个应用程序，我们在一定$ 2 $ - adiC的谎言扩展程序上举了一个伪无iwasawa模块的示例。
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.
