Wenfeng Gao

collaborators

3 papers

math.GR2001

Some Galois extensions of quadratic extensions associated with Witt rings

Wenfeng Gao, Ján Mináč

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…

math.NT2000

Galois Groups Over Nonrigid Fields

Wenfeng Gao, David B. Leep, Jan Minac +1

Let $F$ be a field with characteristic $\neq = 2$ . We show that $F$ is a nonrigid field if and only if certain small 2-groups occur as Galois groups over $F$ . These results provide n…

math.AT2000

Field theory and the Cohomology of Some Galois Groups

Alejandro Adem, Wenfeng Gao, Dikran Karagueuzian +1

We prove that two arithmetically significant extensions of a field F coincide if and only if the Witt ring WF is a group ring Z/n[G]. Furthermore, working modulo squares with Galoi…