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• W2334853566 abstract "Abstract Let L/K be a finite Galois extension in characteristic ≠ 2, and consider a non-split Galois theoretical embedding problem over L/K with cyclic kernel of order 2. In this paper, we prove that if the Galois group of L/K is the direct product of two subgroups, the obstruction to solving the embedding problem can be expressed as the product of the obstructions to related embedding problems over the corresponding subextensions of L/K and certain quaternion algebra factors in the Brauer group of K . In connection with this, the obstructions to realising non-abelian groups of order 8 and 16 as Galois groups over fields of characteristic ≠ 2 are calculated, and these obstructions are used to consider automatic realisations between groups of order 4, 8 and 16." @default.
• W2334853566 created "2016-06-24" @default.
• W2334853566 creator A5053471415 @default.
• W2334853566 date "1995-12-01" @default.
• W2334853566 modified "2023-09-30" @default.
• W2334853566 title "On 2-Groups as Galois Groups" @default.
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• W2334853566 doi "https://doi.org/10.4153/cjm-1995-064-3" @default.
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