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
Voir la notice de l'article 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.
@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/}
}
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/