On Galois cohomology and realizability of 2-groups as Galois groups

Ivo Michailov

Open Mathematics (2011)

  • Volume: 9, Issue: 2, page 403-419
  • ISSN: 2391-5455

Abstract

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In this paper we develop some new theoretical criteria for the realizability of p-groups as Galois groups over arbitrary fields. We provide necessary and sufficient conditions for the realizability of 14 of the 22 non-abelian 2-groups having a cyclic subgroup of index 4 that are not direct products of groups.

How to cite

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Ivo Michailov. "On Galois cohomology and realizability of 2-groups as Galois groups." Open Mathematics 9.2 (2011): 403-419. <http://eudml.org/doc/269379>.

@article{IvoMichailov2011,
abstract = {In this paper we develop some new theoretical criteria for the realizability of p-groups as Galois groups over arbitrary fields. We provide necessary and sufficient conditions for the realizability of 14 of the 22 non-abelian 2-groups having a cyclic subgroup of index 4 that are not direct products of groups.},
author = {Ivo Michailov},
journal = {Open Mathematics},
keywords = {Embedding problem; Galois extension; Quaternion algebra; Obstruction; Corestriction; quaternion algebra; obstruction; corestriction; -groups},
language = {eng},
number = {2},
pages = {403-419},
title = {On Galois cohomology and realizability of 2-groups as Galois groups},
url = {http://eudml.org/doc/269379},
volume = {9},
year = {2011},
}

TY - JOUR
AU - Ivo Michailov
TI - On Galois cohomology and realizability of 2-groups as Galois groups
JO - Open Mathematics
PY - 2011
VL - 9
IS - 2
SP - 403
EP - 419
AB - In this paper we develop some new theoretical criteria for the realizability of p-groups as Galois groups over arbitrary fields. We provide necessary and sufficient conditions for the realizability of 14 of the 22 non-abelian 2-groups having a cyclic subgroup of index 4 that are not direct products of groups.
LA - eng
KW - Embedding problem; Galois extension; Quaternion algebra; Obstruction; Corestriction; quaternion algebra; obstruction; corestriction; -groups
UR - http://eudml.org/doc/269379
ER -

References

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