I have only recently encountered algebraic number theory and was wondering if this is the case. If the answer to the question is yes, then can we explicitly construct the domain $D$ ?
Given a group $G$, does there exist a domain $D$ with $G$ as its ideal class group?
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algebraic-number-theory
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0If you feel that @Mariano has answered your question fully then just accept his answer. – 2012-01-27
1 Answers
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See Claborn, Luther (1966), "Every abelian group is a class group", Pacific J. Math. 18: 219–222. You can get it here
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1Have you looked? – 2012-01-24