Cohomology ring of the orbit space of certain free $Z_ p$-actions
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- by Ronald M. Dotzel and Tej B. Singh PDF
- Proc. Amer. Math. Soc. 123 (1995), 3581-3585 Request permission
Abstract:
In this paper, we consider actions of $G = {Z_p}$ (with p an odd prime) on spaces X which are of cohomology type (0, 0) (i.e., have the $\bmod \text {-}p$ cohomology of the one-point union of an n-sphere, a 2n-sphere and a a 3n-sphere, n odd). If X is not totally non-homologous to zero in ${X_G}$ we determine the fixed set, give examples of all possibilities for the fixed set and compute the cohomology ring structure of the orbit space in the case where G acts freely. In [4], we considered fixed sets for related spaces, when X is totally non-homologous to zero in ${X_G}$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3581-3585
- MSC: Primary 57S17; Secondary 55R20
- DOI: https://doi.org/10.1090/S0002-9939-1995-1285986-6
- MathSciNet review: 1285986