Date of Award
2005
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Hasan, Zahid
Second Advisor
Sarli, John
Third Advisor
Williams, Peter
Abstract
This thesis constructs several groups entirely by hand via their symmetric presentations. In particular, the technique of double coset enumeration is used to manually construct J₃ : 2, the automorphism group of the Janko group J₃, and represent every element of the group as a permutation of PSL₂ (16) : 4, on 120 letters, followed by a word of length at most 3.
Recommended Citation
Nguyen, Benny, "Symmetrically generated groups" (2005). Theses Digitization Project. 2902.
https://scholarworks.lib.csusb.edu/etd-project/2902
