Physical Sciences and Mathematics Commons^™

Images Of Permutation And Monomial Progenitors, Shirley Marina Juan

Electronic Theses, Projects, and Dissertations

We have conducted a systematic search for finite homomorphic images of several permutation and monomial progenitors. We have found original symmetric presentations for several important groups such as the Mathieu sporadic simple groups, Suzuki simple group, unitary group, Janko group, simplectic groups, and projective special linear groups. We have also constructed, using the technique of double coset enumeration, the following groups, L_2(11), S(4,3):2, M11, and PGL(2,11). The isomorphism class of each of the finite images is also given.