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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2021 Volume 500, Pages 204–212 (Mi znsl7072)

This article is cited in 1 paper

About one Galois embedding problem

A. V. Yakovlev

St. Petersburg State University, Mathematics and Mechanics Faculty

Abstract: 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.

Key words and phrases: Galois extensions, embedding problem.

UDC: 512.623.32

Received: 13.05.2021



© Steklov Math. Inst. of RAS, 2025