Mathematics – Algebraic Geometry
Scientific paper
2011-12-07
Mathematics
Algebraic Geometry
In this version is added an example at the end of Section 6. Also, some mistakes are corrected and the references are updated
Scientific paper
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.
Michailov Ivo M.
Ziapkov Nikola P.
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