Relative genus theory and the class group of $l$-extensions
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- by Gary Cornell PDF
- Trans. Amer. Math. Soc. 277 (1983), 421-429 Request permission
Abstract:
The structure of the relative genus field is used to study the class group of relative $l$-extensions. Application to class field towers of cyclic $l$-extensions of the rationals are given.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 277 (1983), 421-429
- MSC: Primary 12A35; Secondary 12A50, 12A65
- DOI: https://doi.org/10.1090/S0002-9947-1983-0690061-1
- MathSciNet review: 690061