Some Galois extensions of quadratic extensions associated with Witt rings

J\'an Min\'a\v{c}; Wenfeng Gao

arxiv: math/0110284 · v1 · pith:CO7VKGIDnew · submitted 2001-10-25 · 🧮 math.GR · math.RA

Some Galois extensions of quadratic extensions associated with Witt rings

Wenfeng Gao , J\'an Min\'a\v{c} This is my paper

classification 🧮 math.GR math.RA

keywords extensionsgaloisquadraticringswittassociatedclasscontains

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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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Some Galois extensions of quadratic extensions associated with Witt rings

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