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Elliptic Curves and Dedekind Domains
Proceedings of the American Mathematical Society
Vol. 57, No. 2 (Jun., 1976), pp. 197-201
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2041187
Page Count: 5
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Some results are obtained on the group of rational points on elliptic curves over infinite algebraic number fields. A certain naturally defined class of Dedekind domains, elliptic Dedekind domains, are described and it is shown that every countable abelian group can be realized as the class group of an elliptic Dedekind domain.
Proceedings of the American Mathematical Society © 1976 American Mathematical Society