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

Author(s): Ronald M. Dotzel; Tej B. Singh; Satya P. Tripathi
Journal: Proc. Amer. Math. Soc. 129 (2001), 921-930.
MSC (2000): Primary 57S17; Secondary 57S25
Posted: September 20, 2000
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Abstract:

Let , a prime (resp. , act freely on a finitistic space 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 .

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