Relative imaginary quadratic fields of class number $1$ or $2$
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- by Larry Joel Goldstein PDF
- Trans. Amer. Math. Soc. 165 (1972), 353-364 Request permission
Abstract:
Let K be a normal totally real algebraic number field. It is shown how to effectively classify all totally imaginary quadratic extensions of class number 1. Let K be a real quadratic field of class number 1, whose fundamental unit has norm $- 1$. Then it is shown how to effectively classify all totally imaginary quadratic extensions of class number 2.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 165 (1972), 353-364
- MSC: Primary 12A25
- DOI: https://doi.org/10.1090/S0002-9947-1972-0291124-8
- MathSciNet review: 0291124