Now showing items 1-2 of 2

    • Explicit class field theory for rational function fields 

      Rakotoniaina, Tahina (Stellenbosch : Stellenbosch University, 2008-12)
      Class field theory describes the abelian extensions of a given field K in terms of various class groups of K, and can be viewed as one of the great successes of 20th century number theory. However, the main results in ...

    • On the constant reductions of valued function fields and their automorphism groups 

      Razafindramahatsiaro, Tovondrainy Christalin (Stellenbosch : Stellenbosch University, 2015-11-20)
      ENGLISH ABSTRACT : The aim of the project is to investigate properties of the automorphism group of a function field in one variable over an algebraically closed field in relation to its reductions with respect to special ...