Longer nilpotent series for classical unipotent groups
Date
2013
Authors
Maglione, Josh, author
Wilson, James, advisor
Hulpke, Alexander, committee member
Boucher, Christina, committee member
Journal Title
Journal ISSN
Volume Title
Abstract
We 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.