  The generic initial ideals of a given ideal are rather recent invariants. Not
much is known about these objects, and it turns out to be very difficult to
compute them. The main purpose of this paper is to study the behaviour of
generic initial ideals with respect to the operation of taking distractions.
Our main result states that the revlex generic initial ideal of the distraction
of a strongly stable ideal is the ideal itself. In proving this fact we develop
some new results related to distractions, stable and strongly stable ideals. We
show, for example, that the gin of a "principal" stable ideal does not depend
on the term order and onthe characteristic of the base field. We draw some
geometric conclusions for ideals of points.

Commutative Algebra