Abstract
Let H=ℚ(ζn+ζn−1) and ℓ be an odd prime such that q≡1(modℓ) for a prime factor q of n. We get a bound on the ℓ-rank of the class group of H in terms of the ℓ-rank of the class group of a real quadratic subfield contained in H. At the end we look into few numerical examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.