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<p>For an odd prime <i>p</i>, the Galois embedding problem of extension with elementary Abelian <i>p</i>-group into extension with Galois group isomorphic to the group of unitriangular matrices over a finite field of order <i>p</i> is considered. It is proved that the solvability of the maximal accompanying problem with central kernel of period <i>p</i> is sufficient for the solvability of the original problem.</p>

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About One Galois Embedding Problem. II

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • A. V. Yakovlev

摘要

For an odd prime p, the Galois embedding problem of extension with elementary Abelian p-group into extension with Galois group isomorphic to the group of unitriangular matrices over a 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.