Date of Award
2005
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
Abstract
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.
Recommended Citation
Torres Bisquertt, María de la Luz, "Symmetric generation of finite groups" (2005). Theses Digitization Project. 2625.
https://scholarworks.lib.csusb.edu/etd-project/2625