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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Profinite groups are Galois groups


Author: William C. Waterhouse
Journal: Proc. Amer. Math. Soc. 42 (1974), 639-640
MSC: Primary 12F10; Secondary 20F20
MathSciNet review: 0325587
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Abstract: Artin's theorem on finite automorphism groups of fields extends to profinite groups, and hence every profinite group is a galois group.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0325587-3
PII: S 0002-9939(1974)0325587-3
Article copyright: © Copyright 1974 American Mathematical Society