Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594106 | Journal of Number Theory | 2013 | 6 Pages |
Abstract
This paper gives examples of function fields K0 over a finite field Fq of p power order ramified only at one finite regular prime over Fq(t), which admit infinite Hilbert p-class field towers. Such a K0 can be taken as an extension of a cyclotomic function field Fq(t)(λpm) for a certain regular prime p in Fq[t].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory