On realizability of p-groups as Galois groups

@article{Michailov2011,
abstract = {2000 Mathematics Subject Classification: 12F12, 15A66.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.},
author = {Michailov, Ivo M., Ziapkov, Nikola P.},
journal = {Serdica Mathematical Journal},
keywords = {Inverse Problem; Embedding Problem; Galois Group; p-Group; Kummer Extension; Corestriction; Orthogonal Representation; Clifford Algebra; Spinor; Modular Group; Dihedral Group; Quaternion Group; Galois Cohomology; Inverse problem; embedding problem; Galois group; -group; Kummer extension; corestriction; orthogonal representation; Clifford algebra; spinor; modular group; dihedral group; quaternion group; Galois cohomology},
language = {eng},
number = {3},
pages = {173-210},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On realizability of p-groups as Galois groups},
url = {http://eudml.org/doc/281575},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Michailov, Ivo M.
AU - Ziapkov, Nikola P.
TI - On realizability of p-groups as Galois groups
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 3
SP - 173
EP - 210
AB - 2000 Mathematics Subject Classification: 12F12, 15A66.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.
LA - eng
KW - Inverse Problem; Embedding Problem; Galois Group; p-Group; Kummer Extension; Corestriction; Orthogonal Representation; Clifford Algebra; Spinor; Modular Group; Dihedral Group; Quaternion Group; Galois Cohomology; Inverse problem; embedding problem; Galois group; -group; Kummer extension; corestriction; orthogonal representation; Clifford algebra; spinor; modular group; dihedral group; quaternion group; Galois cohomology
UR - http://eudml.org/doc/281575
ER -