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Imaginary quadratic
fields k with Cl2(k) ≈
(2,2m) and rank Cl2
(k1) = 2
E. Benjamin, F. Lemmermeyer and C. Snyder |
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Vol. 198 (2001), No. 1, 15–31
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Abstract |
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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. |
Milestones
Received: 20 July 1999
Revised: 5 April 2000
Published: 1 March 2001
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Authors |
| E. Benjamin | |
| Mathematics Department Unity College Unity, Maine 04988 |
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| F. Lemmermeyer | |
| CSU San Marcos San Marcos, CA 92096 |
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| C. Snyder | |
| Department of Mathematics and
Statistics University of Maine Research Institute of Mathematics, Orono, Maine 04469 |
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