@article{Katayama2007, 
author = {Shin-ichi Katayama and Yasuhiro Kishi},
title = {Infinite Family of Imaginary Cyclic Fields of Degree p-1 with the p-Rank of the Ideal Class Groups of at Least Two},
year = {2007},
journal = {Tsinghua Science and Technology},
volume = {12},
number = {4},
pages = {475-478},
keywords = {ideal class group, imaginary cyclic field, Lucas sequence},
url = {https://www.sciopen.com/article/10.1016/S1007-0214(07)70070-6},
doi = {10.1016/S1007-0214(07)70070-6},
abstract = {Imaginary cyclic fields of degree p-1 which have two distinct unramified cyclic extensions of degree p are produced using elementary properties of the Lucas sequences. An infinite family of imaginary cyclic fields of degree p-1 are then given with the p-rank of the ideal class groups of at least two.}
}