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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The local Kronecker-Weber theorem


Author: Jonathan Lubin
Journal: Trans. Amer. Math. Soc. 267 (1981), 133-138
MSC: Primary 12B10
DOI: https://doi.org/10.1090/S0002-9947-1981-0621978-X
MathSciNet review: 621978
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Abstract: The extension of a local field generated by adjoining the torsion points on a suitable formal group is essentially the maximal abelian extension of the field. This fact is proven by appealing to the functorial properties of the Herbrand transition function of higher ramification theory.


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DOI: https://doi.org/10.1090/S0002-9947-1981-0621978-X
Article copyright: © Copyright 1981 American Mathematical Society