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Symmetric Generation Of Finite Groups, MaríA De La Luz Torres Bisquertt
Symmetric Generation Of Finite Groups, MaríA De La Luz Torres Bisquertt
Theses Digitization Project
Advantages of the double coset enumeration technique include its use to represent group elements in a convenient shorter form than their usual permutation representations and to find nice permutation representations for groups. In this thesis we construct, by hand, several groups, including U₃(3) : 2, L₂(13), PGL₂(11), and PGL₂(7), represent their elements in the short form (symmetric representation) and produce their permutation representations.
Symmetric Generation Of Finite Homomorphic Images?, Lee Farber
Symmetric Generation Of Finite Homomorphic Images?, Lee Farber
Theses Digitization Project
The purpose of this thesis was to present the technique of double coset enumeration and apply it to construct finite homomorphic images of infinite semidirect products. Several important homomorphic images include the classical groups, the Projective Special Linear group and the Derived Chevalley group were constructed.