Geodesic
On Inaba extensions for two-dimensional local fields of mixed characteristic
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 57-73 
I. B. Zhukov; O. Yu. Ivanova. On Inaba extensions for two-dimensional local fields of mixed characteristic. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 57-73. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a4/
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     author = {I. B. Zhukov and O. Yu. Ivanova},
     title = {On {Inaba} extensions for two-dimensional local fields of mixed characteristic},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper is devoted to extensions of higher local fields determined by certain matrix equations introduced by E. Inaba. It is proved that any extension decomposable into a tower of Artin–Schreier extensions can be embedded into an Inaba extension that is a composite of the given extension and another Inaba extension. Next, any $p$-extension with elementary Abelian Galois group can be embedded into an extension with the Galois group isomorphic to a group of unipotent matrices over the field with $p$ elements.

[1] E. Inaba, “On matrix equations for Galois extensions of fields with characteristic $p$”, Natur. Sci. Rep. Ochanomizu Univ., 12 (1961), 26–36 | MR

[2] S. V. Vostokov, I. B. Zhukov, O. Yu. Ivanova, “Rasshireniya Inaby polnykh polei kharakteristiki $0$”, Chebyshevskii sbornik, 20:3 (2019), 124–133 | MR

[3] O. Yu. Ivanova, “Zadanie svirepogo tsiklicheskogo rasshireniya uravneniem Inaby”, Zap. nauchn. semin. POMI, 513, 2022, 74–84

[4] I. B. Fesenko, S. V. Vostokov, Local fields and their extensions. A constructive approach, Second edition, AMS, Providence, RI, 2002 | MR