Vol. 198, No. 1, 2001
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Imaginary quadratic fields k with Cl2(k) ≈ (2,2m) and rank Cl2 (k1) = 2

E. Benjamin & F. Lemmermeyer & C. Snyder

Abstract

Let k be an imaginary quadratic number field and k1 the Hilbert 2-class field of k. We give a characterization of those k with Cl2(k) ≃ (2,2m) such that Cl2(k1) has 2 generators.
Authors
E. Benjamin
Mathematics Department
Unity College
Unity, Maine 04988
F. Lemmermeyer
CSU San Marcos
San Marcos, CA 92096
C. Snyder
Department of Mathematics and Statistics
University of Maine
Research Institute of Mathematics, Orono, Maine 04469