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Some Galois extensions of quadratic extensions associated with Witt rings

Wenfeng Gao·Ján Mináč
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Abstract

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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Wenfeng Gao, Ján Mináč. 2001-10-25. Some Galois extensions of quadratic extensions associated with Witt rings. https://arxiv.org/abs/math/0110284

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