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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 towers of function fields over finite fields

Lotter, Ernest Christiaan (Stellenbosch : University of Stellenbosch, 2007-03)

Explicit towers of algebraic function fields over finite fields are studied by considering their ramification behaviour and complete splitting. While the majority of towers in the literature are recursively defined by a ...