Physical Sciences and Mathematics Commons^™

Homormophic Images And Their Isomorphism Types, Diana Herrera

Electronic Theses, Projects, and Dissertations

In this thesis we have presented original homomorphic images of permutations and monomial progenitors. In some cases we have used the double coset enumeration tech- nique to construct the images and for all of the homomorphic images that we have discovered, the isomorphism type of each group is given. The homomorphic images discovered include Linear groups, Alternating groups, and two sporadic simple groups J₁ and J₂X2 where J₁ is the smallest Janko group and J₂ is the second Janko sporadic group.