  We show that the automorphism group of Philip Hall's universal locally finite
group has ample generics,that is, it admits comeager diagonal conjugacy classes
in all dimensions.Consequently, it has the small index property, is not the
union of a countable chain of non-open subgroups, and has the automatic
continuity property. Also, we discuss some algebraic and topological properties
of the automorphism group of Hall universal group. For example, we show that
every generic automorphism of Hall universal group is conjugate to all of its
powers, and hence has roots of all orders.
