Story, Dustin, authorHulpke, Alexander, advisorAdams, Henry, committee memberBuchanan, Norm, committee memberGillespie, Maria, committee member2022-05-302022-05-302022https://hdl.handle.net/10217/235342The class of permutation groups includes 2-homogeneous groups, synchronizing groups, and primitive groups. Moreover, 2-homogeneous implies synchronizing, and synchronizing in turn implies primitivity. A complete classification of synchronizing groups remains an open problem. Our search takes place amongst the primitive groups, looking for examples of synchronizing and non-synchronizing. Using a case distinction from Aschbacher classes, our main results are constructive proofs showing that three classes of primitive affine groups are nonsynchronizing.born digitaldoctoral dissertationsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.primitivesynchronizingsynchronizationaffineText