Date of Award
3-2020
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Hasan, Zahid
Abstract
In this thesis, we have investigated several permutation and monomialprogenitors for finite images. We have found original symmetric presen-tations for several important non-abelian simple groups, including lineargroups, unitary groups, alternating groups, and sporadic simple groups.We have found a number of finite images, including : L(2,41), PSL(2,11)×2, L(2,8), and L(2,19), as homomorphic images of the permutation progenitors. We have also found PGL(2,16) : 2 =Aut(PSL(2,16)) and PSL(2,16) as homomorphic images of monomial progenitors. We have performed manual double coset enumeration of finte images. In addition, we have given the isomorphism class of each image that we have discovered. Presentation for all the progenitors that we have studied along with their images is presented in tables.
Recommended Citation
McGrath, Mayra, "Symmetric Presentations and Related Topics" (2020). Electronic Theses, Projects, and Dissertations. 970.
https://scholarworks.lib.csusb.edu/etd/970