Groups of Order 32 as Galois Groups
Serdica Mathematical Journal, Tome 33 (2007) no. 1, pp. 1-34.

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We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well.
Keywords: Embedding Problem, Galois Extension, Quaternion Algebra, Obstruction
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Michailov, Ivo. Groups of Order 32 as Galois Groups. Serdica Mathematical Journal, Tome 33 (2007) no. 1, pp. 1-34. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_1_a0/