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The transfer in Segal's cohomology

Let R be a commutative ring and let G*(X; R) denote Segal’s cohomology with coefficients in the graded ring R[x] of polynomials in one indeterminate x, of degree one if char R 2 and two otherwise (see [9]). Recall [3] that every generalized cohomology theory admits a transfer homomorphism for finite coverings such that stable transformations of cohomology theories commute with the transfer. The main purpose of this paper is to compute the transfer for the functor G(X; R), where R Z/hp, for coverings of the form