JP Journal of Algebra, Number Theory and Applications
Volume 11, Issue 1, Pages 73 - 84
(June 2008)
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GENERAL CRITERIA FOR DETERMINATION OF CLASS GROUPS OF REAL QUADRATIC ORDERS
R. A. Mollin (Canada)
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Abstract: The purpose herein is to give necessary and sufficient conditions for the class group of an arbitrary real quadratic order to have its class group completely determined by a given set of ideals in terms of the corresponding continued fraction expansion related to the underlying reduced ideals. Moreover, a class number one criterion is presented as a consequence. |
Keywords and phrases: real quadratic order, class number, continued fractions, reduced ideals, class group structure. |
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