About one Galois embedding problem
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 204-212

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We consider the Galois embedding problem of an extension with an elementary abelian 2-group in an extension with the Galois group isomorphic to the group of unitriangular matrices over the 2-element field. 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.
@article{ZNSL_2021_500_a10,
     author = {A. V. Yakovlev},
     title = {About one {Galois} embedding problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {204--212},
     publisher = {mathdoc},
     volume = {500},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a10/}
}
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A. V. Yakovlev. About one Galois embedding problem. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 204-212. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a10/