Geodesic
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 
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/
@article{ZNSL_2021_500_a10,
     author = {A. V. Yakovlev},
     title = {About one {Galois} embedding problem},
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     year = {2021},
     volume = {500},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a10/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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[2] A. Pal, E. Szabo, The strong Massey vanishing for fields with virtual cohomological dimension at most $1$, 2020, 27 pp., arXiv: 1811.06192

[3] Y. Harpaz, O. Wittenberg, The Massey vanishing condition for number fields, 2019, 10 pp., arXiv: 1904.06512