On 3-class groups of cyclic cubic extensions of certain number fields |
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Authors: | Frank Gerth |
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Affiliation: | Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 USA |
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Abstract: | Let F be a (finite) algebraic number field, and let K be a cyclic cubic extension of F. Assuming that the 3-class group of F is trivial, we determine the rank of the 3-class group SK of K, and we obtain some additional information about the structure of SK. |
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