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Date of Award
12-2017
Document Type
Restricted Thesis: Campus only access
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Hasan, Zahid
Abstract
We have investigated several monomial and permutation progenitors, including
2*8 : [8 : 2], 2*18 : [(22 x 3) : (3x2)], 2*16 : [22 : 4], and 2*16 : 24,
5*2 :m [4•22], 5*2 :m [(4x2) :• 2], 103∗2 :m [17 : 2] and 103∗4 :m [17 : 4]. We have discovered original, to the best of our knowledge, symmetric presentations of a number of finite groups, including PSL(2, 7), M12 , A6 : 2, A7 , PSL(2, 25), 25 :• S4,
24 : S3, PSL(2, 271), 12 x PSL(2, 13), and U(3, 7) : 2. We will present our construction of several of these images, including the Mathieu sporadic simple group M12 over the maximal subgroup PSL(2, 11), PSL(2, 17) over D9, PSL(2, 16) : 2 over [24 : 5] and PGL(2, 7) over S3. We will also give our method of finding isomorphism classes of images.
Recommended Citation
Fernandez, Erica, "CONSTRUCTION OF HOMOMORPHIC IMAGES" (2017). Electronic Theses, Projects, and Dissertations. 599.
https://scholarworks.lib.csusb.edu/etd/599