Date of Award
Master of Arts in Mathematics
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.
Torres Bisquertt, María de la Luz, "Symmetric generation of finite groups" (2005). Theses Digitization Project. 2625.