Actions de groupes finis sur S 3 : la conjecture de P. A. Smith

John W. Morgan

Séminaire Bourbaki (1980-1981)

  • Volume: 23, page 277-289
  • ISSN: 0303-1179

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Morgan, John W.. "Actions de groupes finis sur $S^3$ : la conjecture de P. A. Smith." Séminaire Bourbaki 23 (1980-1981): 277-289. <http://eudml.org/doc/109978>.

@article{Morgan1980-1981,
author = {Morgan, John W.},
journal = {Séminaire Bourbaki},
keywords = {Smith conjecture; fixed point set of a periodic diffeomorphism of the 3- sphere; knots as fixed point sets},
language = {fre},
pages = {277-289},
publisher = {Springer-Verlag},
title = {Actions de groupes finis sur $S^3$ : la conjecture de P. A. Smith},
url = {http://eudml.org/doc/109978},
volume = {23},
year = {1980-1981},
}

TY - JOUR
AU - Morgan, John W.
TI - Actions de groupes finis sur $S^3$ : la conjecture de P. A. Smith
JO - Séminaire Bourbaki
PY - 1980-1981
PB - Springer-Verlag
VL - 23
SP - 277
EP - 289
LA - fre
KW - Smith conjecture; fixed point set of a periodic diffeomorphism of the 3- sphere; knots as fixed point sets
UR - http://eudml.org/doc/109978
ER -

References

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  1. 1) Bass, H.Finitely Generated Subgroups of GL2 , (to appear in the Volume on the Smith Conjecture) Zbl0599.57003
  2. 2) Davis, M. & Morgan, J.Finite Group Actions on Homotopy 3-spheres. (to appear in the Volume on the Smith Conjecture) Zbl0599.57008MR758469
  3. 3) Dickson, L.Linear Groups. Dover Publications, New York, 1958. Zbl0082.24901MR104735
  4. 4) Epstein, D.Free products with amalgamations and 3-manifolds, Proc. AMS12 (1961), 669-670. Zbl0114.39903MR152998
  5. 5) Feighn, M.On the Generalized Smith Conjecture, Ph.D. thesisColumbia University, New York, 1981. 
  6. 6) Hempel, J.3-manifolds, Ann. of Math. Studies86, Princeton University Press, 1976. Zbl0345.57001MR415619
  7. 7) Jaco, W. & Shalen, P.Seifert fibered spaces in 3-manifolds, Memoirs AMS, 220, Providence, 1979. Zbl0415.57005MR537728
  8. 8) Johannson, K.Homotopy Equivalences of 3-Manifolds with Boundaries, Lecture Notes in Mathematics761, Springer-VerlagBerlin, 1979. Zbl0412.57007MR551744
  9. 9) Meeks, W. & Yau, S.F.The equivariant Dehn's lemma and Loop Theorems (to appear). Zbl0469.57005
  10. 10) Smith, P.Fixed Points of Periodic Transformations, Appendix B to Algebraic Topology by S. Lefschetz, AMS Colloquium Series, New York, 1942. 
  11. 11) Stallings, J.Group Theory and three-dimensional manifolds. Yale Univ. Press, 1971. Zbl0241.57001MR415622
  12. 12) Thurston, W.Hyperbolic Structures in 3-manifolds (to appear in the Volume on the Smith Conjecture). Zbl0668.57015

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