Some Galois extensions of quadratic extensions associated with Witt rings

Mathematics – Group Theory

Scientific paper

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Scientific paper

A Galois field extension $E/F$ whose Galois group is a pro-2-group of an
exponent of at most 8, with a nilpotency class of at most 4, is determined,
such that it contains essential information about the Witt rings of all
quadratic extensions of $F$.

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