Abstract
In this paper, we introduce a way to define a free cyclic group action on a homotopy sphere and examine the stable parallelizability of its orbit spaces. J. Ewing et al [3] answered the stable parallelizability problem for the classical lens space, that is, the orbit space of the standard sphere under a linear cyclic group action. Let Wi, wZ9 . . . , n+i be positive rational numbers. A polynomial /(£i> £25 • • • 5 £n+i) is called a weighted homogeneous polynomial of type (wi, w^ . . . , z#B+i) if it can be expressed as a linear combination of monomials \2 y n+l Zl %2 « e 8 Zn+l
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