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The Class Group of Dedekind Domains
C. R. Leedham-Green
Transactions of the American Mathematical Society
Vol. 163 (Jan., 1972), pp. 493-500
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1995734
Page Count: 8
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A new proof is given of Claborn's theorem, namely that every abelian group is the class group of a Dedekind domain. A variation of the proof shows that the Dedekind domain can be constructed to be a quadratic extension of a principal ideal ring; a Dedekind domain is also constructed that is unrelated in a certain sense to any principal ideal ring.
Transactions of the American Mathematical Society © 1972 American Mathematical Society