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This article is cited in 8 scientific papers (total in 8 papers)
On the algebraic closure of a local field for $p=2$
I. G. Zel'venskii
Abstract:
Let $k$ be a finite extension of the field of 2-adic numbers. In this paper we determine the structure of the Galois groups of the algebraic closure and of the maximal extension without simple ramification of the field $k$ under the assumption that the maximal extension without higher ramification of the field $k$ contains a fourth root of 1.
Received: 19.11.1971
Citation:
I. G. Zel'venskii, “On the algebraic closure of a local field for $p=2$”, Math. USSR-Izv., 6:5 (1972), 925–937
Linking options:
https://www.mathnet.ru/eng/im2341https://doi.org/10.1070/IM1972v006n05ABEH001907 https://www.mathnet.ru/eng/im/v36/i5/p933
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