Groups that act pseudofreely on S^2 x S^2

Details Groups that act pseudofreely on S^2 x S^2 Groups that act pseudofreely on S^2 x S^2

1999-06-24

arxiv.org/abs/math/9906159v2

Pacific Journal of Mathematics, 230 (2), 2007. pp. 381--408

Mathematics

Geometric Topology

26 pages, LaTeX. Final version corrects some minor typographical errors and a gap in the proof of Proposition 4.7

Scientific paper

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.

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