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The orbit space of a sphere by an action of $ Z\sb{p\sp{s}}$


Author: Stephen J. Willson
Journal: Proc. Amer. Math. Soc. 59 (1976), 361-365
MSC: Primary 55C35; Secondary 57E25
DOI: https://doi.org/10.1090/S0002-9939-1976-0428328-6
MathSciNet review: 0428328
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Abstract: Let $ X$ be a finite $ {\text{CW}}$ complex with the $ {Z_{{p^r}}}$ homology of an $ n$-sphere. Suppose $ {Z_{{p^s}}}$ acts cellularly on $ X$. The homology of the orbit space $ X/{Z_{{p^s}}}$ with coefficients $ {Z_{{p^r}}}$ is computed.


References [Enhancements On Off] (What's this?)

  • [1] A. Borel et al., Seminar on transformation groups, Ann. of Math. Studies, no. 46, Princeton Univ. Press, Princeton, N.J., 1960. MR 22 #7129. MR 0116341 (22:7129)
  • [2] G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972. MR 0413144 (54:1265)
  • [3] N. E. Steenrod and D. B. A. Epstein, Cohomology operations, Ann. of Math. Studies, no. 50, Princeton Univ. Press, Princeton, N.J., 1962. MR 26 #3056. MR 0145525 (26:3056)
  • [4] S. J. Willson, Equivariant homology theories on $ G$-complexes, Trans. Amer. Math. Soc. 212 (1975), 155-171. MR 0377859 (51:14028)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0428328-6
Article copyright: © Copyright 1976 American Mathematical Society

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