Article ID Journal Published Year Pages File Type
4594106 Journal of Number Theory 2013 6 Pages PDF
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