Geodesic
About one Galois embedding problem. II
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 218-227

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For an odd prime $p$, the Galois embedding problem of an extension with elementary abelian $p$-group in an extension with the Galois group isomorphic to the group of unitriangular matrices over the finite field of order $p$ is considered. It is proved that the solvability of the maximal accompanying problem with central kernel of period $p$ is sufficient for the solvability of the original problem. 
@article{ZNSL_2022_513_a13,
     author = {A. V. Yakovlev},
     title = {About one {Galois} embedding problem. {II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {218--227},
     publisher = {mathdoc},
     volume = {513},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a13/}
}
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A. V. Yakovlev. About one Galois embedding problem. II. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 218-227. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a13/