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7 papers
Cohomology Classification of Spaces with Free S3 Actions
Anju Kumari, Hemant Kumar Singh
This paper gives the cohomology classification of finitistic spaces X equipped with free actions of the group G = S3 and the orbit space X/G is the integral or mod 2 cohomology qua…
Fixed point Free Actions of Spheres and Equivariant maps
Anju Kumari, Hemant Kumar Singh
This paper generalizes the concept of index and co-index and some related results for free actions of G = S0 on a paracompact Hausdorff space which were introduced by Conner and Fl…
Free Action of Finite Groups on Spaces of Cohomology Type (0, b)
Somorjit K Singh, Hemant Kumar Singh, Tej Bahadur Singh
Let G be a finite group acting freely on a finitistic space X having cohomology type (0, b) (for example, S^n x S^{2n} is a space of type (0, 1) and the one-point union S^n V S^{2n…
Free actions of connected Lie groups of rank one on certain spaces
Hemant Kumar Singh, Jaspreet Kaur, Tej Bahadur Singh
Let be a connected Lie group of rank one. In this paper the existence of free actions of group on spheres, real projective spaces and lens spaces has been studied. Most of…
Cohomology algebra of the orbit space of some free actions on spaces of cohomology type (a, b)
Hemant Kumar Singh, Tej Bahadur Singh
Let X be a finitistic space with non-trivial cohomology groups H^in(X;Z)=Z with generators v_i, where i = 0, 1, 2, 3. We say that X has cohomology type (a, b) if v_1^2 = av_2 and v…
Cohomology algebra of the orbit space of free circle group actions on lens spaces
Hemant Kumar Singh, Tej Bahadur Singh
Suppose that G=S^1 acts freely on a finitistic space X whose mod p cohomology ring isomorphic to that of a lens space L^{2m-1}(p;q_1,...,q_m). In this paper, we determine the mod p…