Mathematische Annalen

, Volume 293, Issue 1, pp 707–727 | Cite as

Realizing automorphisms of the fundamental group of irreducible 3-manifolds containing two-sided projective planes

  • John Kalliongis
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Mathematics Subject Classification (1991)

57M99 57S99 55S27 
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References

  1. 1.
    Boileau, M., Zimmerman, B.: The π-orbifold group of a link. Math Z.200, 187–208 (1989)Google Scholar
  2. 2.
    Conner, P.E., Raymond, F.: Deforming homotopy equivalences to homeomorphisms Bull. Am. Math. Soc.83, 36–85 (1977)Google Scholar
  3. 3.
    Friedman, J.L., Witt, D.M.: Homotopy is not isotopy for homeomorphisms of 3-manifolds. Topology25(1), 35–44 (1986)Google Scholar
  4. 4.
    Fuchs-Rabinovitch, D.I.: On the automorphism group of free products II. Math. Sb.9(51), 183–220 (1941)Google Scholar
  5. 5.
    Heil, W.: On ℙ2 3-manifolds. Bull. Am. Math. Soc.75, 772–775 (1969)Google Scholar
  6. 6.
    Hendriks, H.: Applications de la theorie d'obstruction en dimension 3. Bull. Soc. Math. Fr.53, 81–196 (1977)Google Scholar
  7. 7.
    Hendriks, H.: Obstruction theory in 3-dimensional topology. Bull. Am. Math. Soc.83, 737–738 (1977)Google Scholar
  8. 8.
    Jaco, W.: Lectures on 3-manifold Topology. Reg. Conf. Ser. Appl. Math.43 (1980)Google Scholar
  9. 9.
    Kalliongis, J.: Involutions on nonirreducible 3-manifolds. Topology Appl.38, 61–95 (1991)Google Scholar
  10. 10.
    Kalliongis, J., McCullough, D.: π1 mappings of compact 3-manifolds. Proc. Lond. Math. Soc., III. Ser.52, 173–192 (1986)Google Scholar
  11. 11.
    Kalliongis, J., McCullough, D.: Homeotopy groups of irreducible 3-manifolds which may contain two-sided projective planes. Pac. J. Math.153, 85–117 (1992)Google Scholar
  12. 12.
    Kim, P.K., Tollefson, J.: P.L. involutions of fibered 3-manifolds. Trans. Am. Math. Soc.232, 221–237 (1977)Google Scholar
  13. 13.
    Kim, P.K., Tollefson, J.: Splitting the p.l. involutions of nonprime 3-manifolds. Mich. Math. J.27, 259–274 (1980)Google Scholar
  14. 14.
    Laudenbach, F.: Sur les 2-spheres d'une variete de dimension 3. Ann. Math.97, 57–81 (1973)Google Scholar
  15. 15.
    Maclane, S.: Homology. Berlin Heidelberg New York: Springer 1967Google Scholar
  16. 16.
    McCullough, D.: The group of homotopy equivalences for a connected sum of closed aspherical manifolds. Indiana Univ. Math. J.30, 249–260 (1981)Google Scholar
  17. 17.
    McCullough, D.: Errata: The group of homotopy equivalences for a connected sum of closed aspherical manifolds. Indiana Univ. Math. J.34, 201–203 (1985)Google Scholar
  18. 18.
    McCullough, D., Miller, A.: Homeomorphisms of 3-manifolds with compressible boundary. Mem. Am. Math. Soc.344 (1986)Google Scholar
  19. 19.
    McCullough, D., Miller, A.: Manifold covers of 3-orbifolds with geometric pieces. Topology Appl.31, 169–185 (1989)Google Scholar
  20. 20.
    Meeks, W., Scott, P.: Finite group actions on 3-manifolds. Invent. Math.86, 287–346 (1986)Google Scholar
  21. 21.
    Negami, S.: Irreducible 3-manifolds with non-trivial π2. Yokohama Math. J.29, 133–144 (1981)Google Scholar
  22. 22.
    Swarup, G.A.: Homeomorphisms of compact 3-manifolds. Topology16, 119–130 (1977)Google Scholar
  23. 23.
    Tollefson, J.: Involutions of sufficiently large 3-manifolds. Topology20, 323–352 (1981)Google Scholar
  24. 24.
    Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. Math.87, 56–88 (1968)Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • John Kalliongis
    • 1
  1. 1.Department of Mathematics and Computer ScienceSaint Louis UniversitySt. LouisUSA

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