Properties of the normset relating to the class group |
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Authors: | Jim Coykendall |
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Institution: | Department of Mathematics, Cornell University, Ithaca, New York 14853 |
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Abstract: | In a recent paper by the author the normset and its multiplicative structure was studied. In that paper it was shown that under certain conditions (including Galois) that a normset has unique factorization if and only if its corresponding ring of integers has unique factorization. In this paper we shall examine some of the properties of a normset and describe what it says about the class group of the corresponding ring of integers. |
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