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Bulletin of the American Mathematical Society

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The existence of free metacyclic actions on homotopy spheres


Author: Ted Petrie
Journal: Bull. Amer. Math. Soc. 76 (1970), 1103-1106
MSC (1970): Primary 57D65, 57E25; Secondary 20C10
MathSciNet review: 0264656
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  • 1. William Browder, Surgery on simply connected manifolds. Notes, Princeton University, Princeton, N. J., 1969.
  • 2. Michel A. Kervaire and John W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR 0148075
  • 3. John Milnor, Groups which act on 𝑆ⁿ without fixed points, Amer. J. Math. 79 (1957), 623–630. MR 0090056
  • 4. John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. MR 0239612
  • 5. Richard G. Swan, Induced representations and projective modules, Ann. of Math. (2) 71 (1960), 552–578. MR 0138688
  • 6. Richard G. Swan, Periodic resolutions for finite groups, Ann. of Math. (2) 72 (1960), 267–291. MR 0124895
  • 7. C. T. C. Wall, Surgery of non-simply-connected manifolds, Ann. of Math. (2) 84 (1966), 217–276. MR 0212827

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DOI: http://dx.doi.org/10.1090/S0002-9904-1970-12580-0