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

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Michailov I.

Open Mathematics

2011

tom 9

nr 6

1333-1343

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.

Ograniczanie wyników

1 Open Mathematics

1 Michailov I.

1 2011

Wyniki wyszukiwania

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