The Cohomology Rings of the Orbit Spaces of Free Transformation Groups of the Product of Two Spheres

Ronald Dotzel; Tej Singh; Satya Tripathi

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

Ronald Dotzel, Tej Singh, Satya Tripathi

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

Let G = Zp, p a prime (resp. S1), act freely on a finitistic space X with mod p (resp. rational) cohomology ring isomorphic to that of Sm ×Sn. In this paper we determine the possible cohomology algebra of the orbit space

X/G.

Original language	American English
Journal	Proceedings of the American Mathematical Society
Volume	129
DOIs	https://doi.org/10.1090/S0002-9939-00-05668-9
State	Published - Jan 1 2001

Disciplines

Algebra
Mathematics

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title = "The Cohomology Rings of the Orbit Spaces of Free Transformation Groups of the Product of Two Spheres",

abstract = " Let G = Zp, p a prime (resp. S1), act freely on a finitistic space X with mod p (resp. rational) cohomology ring isomorphic to that of Sm ×Sn. In this paper we determine the possible cohomology algebra of the orbit space X/G.",

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AU - Singh, Tej

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AB - Let G = Zp, p a prime (resp. S1), act freely on a finitistic space X with mod p (resp. rational) cohomology ring isomorphic to that of Sm ×Sn. In this paper we determine the possible cohomology algebra of the orbit space X/G.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -

The Cohomology Rings of the Orbit Spaces of Free Transformation Groups of the Product of Two Spheres

Abstract

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