Maglione, Josh, authorWilson, James, advisorHulpke, Alexander, committee memberBoucher, Christina, committee member2007-01-032007-01-032013http://hdl.handle.net/10217/81040We compute the adjoint series for the unipotent subgroup, U, of the Chevalley group Ad(Zp). The adjoint series of U has length d2/4 + d/2 + θ(1), whose factors have order equal to either p or p2, whereas the lower central series of U has length d + 1, whose factors have order equal to pO(d). We provide an algorithm for computing the adjoint series.born digitalmasters thesesengCopyright 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.Text