Geodesic
On the algebraic closure of a~local field for~$p=2$
Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 925-937

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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. 
@article{IM2_1972_6_5_a1,
     author = {I. G. Zel'venskii},
     title = {On the algebraic closure of a~local field for~$p=2$},
     journal = {Izvestiya. Mathematics },
     pages = {925--937},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a1/}
}
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I. G. Zel'venskii. On the algebraic closure of a~local field for~$p=2$. Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 925-937. http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a1/