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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Ambiguous classes in quadratic fields


Author: R. A. Mollin
Journal: Math. Comp. 61 (1993), 355-360
MSC: Primary 11R29; Secondary 11R09, 11R11
DOI: https://doi.org/10.1090/S0025-5718-1993-1195434-9
MathSciNet review: 1195434
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Abstract: We provide sufficient conditions for the class group of a quadratic field (with positive or negative discriminant) to be generated by ambiguous ideals. This investigation was motivated by a recent result of F. Halter-Koch, which we show is false.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1993-1195434-9
Keywords: Ambiguous ideal, quadratic field, class number, exponent
Article copyright: © Copyright 1993 American Mathematical Society