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Imaginary quadratic fields with Cl2(k)?(2,2,2) |
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| Authors: | E. Benjamin C. Snyder |
| Affiliation: | a Department of Mathematics, Unity College, Unity, ME 04988, USA b Department of Mathematics, CSU San Marcos, 333 S. Twin Oaks Valley Rd., San Marcos, CA 92096-0001, USA c Department of Mathematics and Statistics, University of Maine, Orono, ME 04469, USA d Research Institute of Mathematics, Orono, ME, USA |
| Abstract: | We characterize those imaginary quadratic number fields, k, with 2-class group of type (2,2,2) and with the 2-rank of the class group of its Hilbert 2-class field equal to 2. We then compute the length of the 2-class field tower of k. |
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