$p$-class groups in the cyclotomic ${\mathbb{Z}}_p$-extension of imaginary quadratic fields

Somnath Jha, Debanjana Kundu, H. Laxmi +1

We study the structure of the $p$-class group of the first layer of the cyclotomic ${\mathbb{Z}}_p$-extension of an imaginary quadratic field where $p$ is non-split. We obtain restri…