2 papers
math.NT2024
On the Finiteness and Structure of Galois Groups of Tamely ramified pro-p Extensions of Imaginary Quadratic Fields
Qi Liu, Zugan Xing
For a prime p, we study the Galois groups of maximal pro- extensions of imaginary quadratic fields unramified outside a finite set , where consists of one or two finite p…
math.NT2024
Infinite class field tower with small root discriminant
Qi Liu, Zugan Xing
We generalize Schoof's theorem in 1986 and apply this to construct a class of Kummer extensions of the cyclotomic fields with infinite class tower. As an application, we give some…