Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

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
MathSciNet review: 1712925
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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 .

References:

1.: A. Adem, actions on , Trans. Amer. Math. Soc. 300 (1987), 791-809. MR 88b:57037
2.: G. Bredon, Introduction to compact transformation groups, Academic Press, 1972. MR 54:1265
3.: -, Cohomological aspects of transformation groups, Proc. Conf. Trans. Groups, (New Orleans, 1967), Springer, 1968, pp. 245-280. MR 39:6303
4.: W. Y. Hsiang, Cohomology theory of topological transformation groups, Springer, 1975. MR 54:1363; English transl. MR 83k:57029
5.: J. McCleary, User's guide to spectral sequences, Publish or Perish, 1985. MR 87f:55014
6.: J. C. Su, Periodic transformations on the product of two spheres, Trans. Amer. Math. Soc. 112 (1964), 369-380. MR 29:612
7.: P. Tomter, Transformation groups on cohomology product of spheres, Invent. Math. 23 (1974), 79-88. MR 48:12510

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