It is shown that the dynamics of a single down arrow-electron interact
ing with a band of up arrow-electrons can be calculated exactly in the
limit of infinite dimension. The corresponding Green function is dete
rmined as a continued fraction. It is used to investigate the stabilit
y of saturated ferromagnetism and the nature of the ground state for t
wo generic nonbipartite infinite dimensional lattices. Non-Fermi-liqui
d behavior is found. For certain dopings the down arrow-electron is bo
und to the up arrow-holes.