Preprint A389/2005
On the Galois closure of towers
Henning Stichtenoth | Garcia, Arnaldo
Keywords: function fields | finite fields | towers | limit of towers | Galois closure
We show that the Galois closure of certain towers with good limits also have the same limit.This is done for certain 2-bounded towers and also for tame towers.The key idea is the use of a simple lemma about the composite field of two 2-bounded extensions of a function field.The lemma asserts that the composite field is also 2-bounded.