  We give a normalizer decomposition for a p-local compact group (S, F, L) that
describes |L| as a homotopy colimit indexed over a finite poset. Our work
generalizes the normalizer decompositions for finite groups due to Dwyer, for
p-local finite groups due to Libman, and for compact Lie groups in separate
work due to Libman. Our approach gives a result in the Lie group case that
avoids topological subtleties with Quillen's Theorem A, because we work with
discrete groups. We compute the normalizer decomposition for the p-completed
classifying spaces of U(p) and SU(p) and for the p-compact groups of Aguade and
Zabrodsky.
