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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Genera in abelian extensions


Author: Robert Gold
Journal: Proc. Amer. Math. Soc. 47 (1975), 25-28
DOI: https://doi.org/10.1090/S0002-9939-1975-0354613-1
MathSciNet review: 0354613
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Abstract | References | Additional Information

Abstract: The principal genus in an abelian extension is characterized as the kernel of norm residue symbols at the ramified primes.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0354613-1
Keywords: Genera, norm residue, genus field
Article copyright: © Copyright 1975 American Mathematical Society