Abstract
The present note studies a sufficient condition that the length of the $3$-class field tower of a cyclic cubic field is greater than $1$.
Citation
Akito Nomura. "A note on the $3$-class field tower of a cyclic cubic field." Proc. Japan Acad. Ser. A Math. Sci. 83 (2) 14 - 15, March 2007. https://doi.org/10.3792/pjaa.83.14
Information
Published: March 2007
First available in Project Euclid: 5 March 2007
zbMATH: 1123.11036
MathSciNet: MR2303623
Digital Object Identifier: 10.3792/pjaa.83.14
Subjects:
Primary:
11R19
,
11R29
Keywords:
class field tower
,
Class number
,
cyclic cubic field
,
Hilbert class field
Rights: Copyright © 2007 The Japan Academy
