The cohomology rings of the orbit spaces of free transformation groups of the product of two spheres

Dotzel, Ronald; Singh, Tej; Tripathi, Satya

doi:10.1090/S0002-9939-00-05668-9

The cohomology rings of the orbit spaces of free transformation groups of the product of two spheres
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by Ronald M. Dotzel, Tej B. Singh and Satya P. Tripathi PDF

Proc. Amer. Math. Soc. 129 (2001), 921-930 Request permission

Abstract:

Let $G=Z_p$, $p$ a prime (resp. $S^1)$, act freely on a finitistic space $X$ with $\operatorname {mod}p$ (resp. rational) cohomology ring isomorphic to that of $S^m\times S^n$. In this paper we determine the possible cohomology algebra of the orbit space $X/G$.

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