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Shorter Notes: Profinite Groups are Galois Groups

William C. Waterhouse
Proceedings of the American Mathematical Society
Vol. 42, No. 2 (Feb., 1974), pp. 639-640
DOI: 10.2307/2039560
Stable URL: http://www.jstor.org/stable/2039560
Page Count: 2
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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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