On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields
Author:
Affiliation:
1. Harold Abel School of Psychology, Capella University, Minneapolis, MN 55402, USA
2. Department of Mathematics and Statistics, UMaine, Orono, ME 04469, USA
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
http://academic.oup.com/qjmath/advance-article-pdf/doi/10.1093/qmath/hay021/24676497/hay021.pdf
Reference21 articles.
1. Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group;Benjamin;J. Number Theory,2017
2. Imaginary quadratic fields k with cyclic Cl2(k1);Benjamin;J. Number Theory,1997
3. Real quadratic fields with Abelian 2-class field tower;Benjamin;J. Number Theory,1998
4. Imaginary quadratic fields k with Cl2(k) ≃ (2,2m) and rank Cl2(k1) = 2;Benjamin;Pacific J. Math.,2001
5. Capitulation in unramified quadratic extensions of real quadratic number fields;Benjamin;Glasg. Math. J.,1994
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