The Galois embedding problem of an extension with elementary Abelian 2-group into an extension with the Galois group isomorphic to the group of unitriangular matrices over the 2-element field is considered. It is proved that the solvability of the maximal accompanying problem with central kernel of period 2 is sufficient for the solvability of the original problem.
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References
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A. V. Yakovlev is deceased.
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 500, 2021, pp. 204–212.
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Yakovlev, A.V. About One Galois Embedding Problem. J Math Sci 272, 481–486 (2023). https://doi.org/10.1007/s10958-023-06438-6
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DOI: https://doi.org/10.1007/s10958-023-06438-6