Galois extensions ramified at only one prime
Jing Long

I will discuss results about Galois extensions ramified at only one prime over both number fields and function fields. Over number fields I will give a few results concerning Galois groups that are quasi-p groups or 2-step solvable groups, and an infinite class field tower ramified only at one prime, as well as some examples of groups which don't occur. Then some results over function fields will also be given.