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The cohomology rings of the orbit spaces of free transformation groups of the product of two spheres
Authors:Ronald M Dotzel  Tej B Singh  Satya P Tripathi
Institution:Department of Mathematics, University of Missouri, St. Louis, Missouri 63121 ; Department of Mathematics, University of Delhi, Delhi-110007, India ; Department of Mathematics, University of Delhi, Delhi-110007, India
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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