4 papers
Infinite class towers for function fields
Jing Hoelscher
This paper gives examples of function fields over a finite field of power order ramified only at one finite regular prime over , which adm…
Ray Class Groups of Quadratic and Cyclotomic Fields
Jing Long Hoelscher
This paper studies Galois extensions over real quadratic number fields or cyclotomic number fields ramified only at one prime. In both cases, the ray class groups are computed, and…
Infinite class field towers
Jing Long Hoelscher
This paper studies infinite class field towers of number fields that are ramified over $\Q$ only at one finite prime. In particular, we show the existence of such towers for a…
Galois extensions ramified only at one prime
Jing Long Hoelscher
This paper gives some restrictions on finite groups that can occur as Galois groups of extensions over $\Q$ and over $\F_q(t)$ ramified only at one finite prime. Over $\Q$, we stre…