On Simplicity of the Projective Special Linear Groups

University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

Abstract: In this thesis, we will be proving that the Projective special linear group PSL(m,K) is a simple group for all dimensions m and finite fields K, with a few exceptions. First, we prove simplicity of PSL(2,K) (Jordan-Moore), and then move on to proving simplicity of PSL(m,K) (Jordan-Dickson) for all dimensions m >= 3. The most important tool used to prove this is by using certain linear transformations known as (elementary) transvections.

  AT THIS PAGE YOU CAN DOWNLOAD THE WHOLE ESSAY. (follow the link to the next page)