4 papers
On Solvable Automorphism Groups of Function Fields over Finite Fields
Henning Stichtenoth, Chaoping Xing, Zugan Xing
The classical Hurwitz bound gives a linear upper bound in terms of the genus for automorphism groups of algebraic function fields in characteristic zero, whereas algebraic function…
Multiplicator freeness for restricted-ramification Galois groups over global function fields
Qi Liu, Zugan Xing
Let be a global function field with full constant field , let be a finite set of finite places, and let be a distinguished place. We study the maxima…
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…
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…