Group-theoretic constraints on the structure of the class group |
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| Authors: | Gary Cornell Michael Rosen |
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| Institution: | Mathematics Department, Rutgers University, New Brunswick, New Jersey 08903 USA;Mathematics Department, Brown University, Providence, Rhode Island 02912 USA |
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| Abstract: | Let be a Galois extension of number fields and G its Galois group. By considering the class group of K as a G module we are able to make assertions about its structure once the class number is known. Applications are made to cyclic cubic fields and the 2-class group of cyclotomic fields. |
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