  Recall that a pseudofree group action on a space is one whose singular set
consists only of isolated points. In this paper, we classify all of the finite
groups which admit pseudofree actions on S^2 x S^2. The groups turn out to be
exactly the expected ones: those which admit orthogonal pseudofree actions on
S^2 x S^2 as a subset of R^3 x R^3. They are explicitly listed.
  This paper can be viewed as a companion to a paper of Edmonds,
math.GT/9809055.
