On 3-Manifolds That Have Finite Fundamental Group and Contain Klein Bottles

J. H. Rubinstein
1979 Transactions of the American Mathematical Society  
The closed irreducible 3-manifolds with finite fundamental group and containing an embedded Klein bottle can be identified with certain Seifert fibre spaces. We calculate the isotopy classes of homeomorphisms of such 3-manifolds. Also we prove that a free involution acting on a manifold of this type, gives as quotient either a lens space or a manifold in this class. As a corollary it follows that a free action of Z8 or a generalized quaternionic group on S3 is equivalent to an orthogonal action.
doi:10.2307/1998686 fatcat:5r4cky2g7bfpphugc6jokkzore