On Galois cohomology and realizability of 2-groups as Galois groups II
Ivo Michailov
Open Mathematics, Tome 9 (2011), p. 1333-1343 / Harvested from The Polish Digital Mathematics Library
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In [Michailov I.M., On Galois cohomology and realizability of 2-groups as Galois groups, Cent. Eur. J. Math., 2011, 9(2), 403–419] we calculated the obstructions to the realizability as Galois groups of 14 non-abelian groups of order 2n, n ≥ 4, having a cyclic subgroup of order 2n−2, over fields containing a primitive 2n−3th root of unity. In the present paper we obtain necessary and sufficient conditions for the realizability of the remaining 8 groups that are not direct products of smaller groups.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:269627 
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     author = {Ivo Michailov},
     title = {On Galois cohomology and realizability of 2-groups as Galois groups II},
     journal = {Open Mathematics},
     volume = {9},
     year = {2011},
     pages = {1333-1343},
     zbl = {1285.12002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0086-z}
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Ivo Michailov. On Galois cohomology and realizability of 2-groups as Galois groups II. Open Mathematics, Tome 9 (2011) pp. 1333-1343. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0086-z/

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