Quadratic fields with -rank equal to

Authors:
F. Diaz y Diaz, Daniel Shanks and H. C. Williams

Journal:
Math. Comp. **33** (1979), 836-840

MSC:
Primary 12A25; Secondary 12A50

DOI:
https://doi.org/10.1090/S0025-5718-1979-0521299-4

MathSciNet review:
521299

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Abstract: In [2] there is reference to 119 known imaginary quadratic fields that have 3-rank . We examine these fields and determine the exact values of *r*. Their associated real fields and the distribution of their 3-Sylow subgroups are also studied. Some of the class groups are recorded since they are of special interest. These include examples having an infinite class field tower and only one ramified prime, and others having an infinite tower because of two different components of their class groups.

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DOI:
https://doi.org/10.1090/S0025-5718-1979-0521299-4

Article copyright:
© Copyright 1979
American Mathematical Society