On realizability of $p$-groups as Galois groups

Ivo M. Michailov; Nikola P. Ziapkov

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arXiv · 1112.1522

On realizability of $p$-groups as Galois groups

Ivo M. Michailov·Nikola P. Ziapkov

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Abstract

In this article we survey and examine the realizability of $p$-groups as Galois groups over arbitrary fields. In particular we consider various cohomological criteria that lead to necessary and sufficient conditions for the realizability of such a group as a Galois group, the embedding problem (i.e., realizability over a given subextension), descriptions of such extensions, automatic realizations among $p$-groups, and related topics.

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BibTeX RIS

Ivo M. Michailov, Nikola P. Ziapkov. 2012-01-05. On realizability of $p$-groups as Galois groups. https://arxiv.org/abs/1112.1522

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