  We study the topological structure and the topological dynamics of groups of
homeomorphisms of scattered spaces. For a large class of them (including the
homeomorphism group of any ordinal space or of any locally compact scattered
space), we establish Roelcke-precompactness and amenability, classify all
closed normal subgroups and compute the universal minimal flow. As a
by-product, we classify up to isomorphism the homeomorphism groups of compact
ordinal spaces.
