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December 2020 Primary rank of the class group of real cyclotomic fields
Mohit Mishra, Rishabh Agnihotri, Kalyan Chakraborty
Rocky Mountain J. Math. 50(6): 2149-2155 (December 2020). DOI: 10.1216/rmj.2020.50.2149

Abstract

Let H=(ζn+ζn1) and be an odd prime such that q1(mod) for a prime factor q of n. We get a bound on the -rank of the class group of H in terms of the -rank of the class group of a real quadratic subfield contained in H. At the end we look into few numerical examples.

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Mohit Mishra. Rishabh Agnihotri. Kalyan Chakraborty. "Primary rank of the class group of real cyclotomic fields." Rocky Mountain J. Math. 50 (6) 2149 - 2155, December 2020. https://doi.org/10.1216/rmj.2020.50.2149

Information

Received: 9 June 2020; Revised: 10 June 2020; Accepted: 10 June 2020; Published: December 2020
First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.2149

Subjects:
Primary: 11R18, 11R29
Secondary: 11R11

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 6 • December 2020
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