Affiliation:
1. Department of Mathematics, University of Delhi, Delhi, India
2. Department of Mathematics, National Institute of Technology Manipur, Langol, Imphal, India
Abstract
Let Xn be a finite CW complex with cohomology type (a, b), characterized by
an integer n > 1 [20]. In this paper, we show that if G = (Z2)q acts freely
on the product Y = Qmi=1 Xin, where Xin are finite CW complexes with
cohomology type (a, b), a and b are even for every i, then q ? m. Moreover,
for n even and a = b = 0, we prove that G = (Z2)q (q ? m) is the only finite
group which can act freely on Y. These are generalizations of the results
which says that the rank of a group acting freely on a space with cohomology
type (a, b) where a and b are even, is one and for n even, G = Z2 is the
only finite group which acts freely on spaces of cohomology type (0, 0)
[17].
Publisher
National Library of Serbia
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